Map indicates the layout of the F1 generation resulting from a cross between EC201 and EC103 parents. Column 1 is approximately lengthways facing north.
“Map of F1 Trees”
Diagram indicates the areas of leaf collection regarding height. Each Tree generally had 10 leaves collected (some trees have been sampled more than once), leaves were selected from low, mid and high points of the tree. The first leaf sampled from each tree was measured twice for replication comparison.
“Diagram of leaf collection levels”
“Full.xlsx”, sheet “Full” contains measurement information from sampling with the Dualex (https://www.force-a.com/en/capteurs-optiques-optical-sensors/dualex-scientific-chlorophyll-meter/), including;
Surface content of chlorophyll in \(g/cm^2\) (Chl)
Epidermal Flavoid content in absorbance units; Flavonol(Flav) and Anthocyanin(Anth)
Nitrogen Balance Index status is calculated using Chlorophyll and Flavonol values automatically (NBI)
It also contains information about the block position, the leaf height information, and presense or absence of flowering
Sheet “Dup” contains only the replicated samples
# Import Data Measures
Data <-read.xlsx("Full.xlsx", sheetName ="Full")
head(Data)
## Collection.Day Allocation Block Column Row group Group.ID Tree.ID Rep.
## 1 4 CG 0 0 0 20 OG CG N
## 2 4 CG 0 0 0 20 OG CG N
## 3 4 CG 0 0 0 20 OG CG N
## 4 4 CG 0 0 0 20 OG CG N
## 5 4 CG 0 0 0 20 OG CG N
## 6 4 CG 0 0 0 20 OG CG N
## measure Height Flower Chl Flav Anth NBI
## 1 9 H Y 28.220 2.418 0.205 11.67
## 2 3 L Y 27.958 2.298 0.691 12.17
## 3 11 H Y 33.727 2.458 0.527 13.72
## 4 4 L Y 25.938 1.758 0.172 14.76
## 5 10 H Y 36.205 2.283 0.270 15.86
## 6 6 M Y 34.332 2.115 0.150 16.23
Data$Column = as.factor(Data$Column)
Data$Row = as.factor(Data$Row)
# Import Replicate Data
Dup <-read.xlsx("Full.xlsx", sheetName ="Dup")
head(Dup)
## Collection.Day group Group.ID Tree.ID Rep. measure Height Chl Flav
## 1 2.0 23 60 IN4DV Y1 1 L 1.916 2.363
## 2 1.5 3 1 IN4BT Y1 1 L 3.124 2.300
## 3 2.0 17 54 IN4DL Y2 2 L 3.414 1.826
## 4 1.5 32 28 IN4CP Y2 2 L 4.097 1.943
## 5 2.0 9 46 IN4DC Y1 1 L 4.909 1.928
## 6 1.5 5 3 IN4BW Y1 1 L 4.924 1.848
## Anth NBI
## 1 0.174 0.81
## 2 0.191 1.36
## 3 0.112 1.87
## 4 0.051 2.11
## 5 0.103 2.55
## 6 0.165 2.66
#Isolate Crimson Glory Outgroup
CG = Data[c(1:11),]
#Isolate East Cape 201 Parent
EC201 = Data[c(12:21),]
#Isolate East Cape 103 Parent
EC103 = Data[c(22:33),]
#Isolate Offspring from the Parental Cross
F1 = Data[c(34:1825),]
Replicates were taken by re-measuring a single leaf sample taken from each tree, this was to help establish the consistency of measurements given by the Dualex to help verify measurement accuracy.
## Min. 1st Qu. Median Mean 3rd Qu.
## RepAnth 0.00100000 0.06500000 0.09850000 0.09799367 0.12525000
## RepChl 1.91600000 25.82475000 36.02700000 35.76269937 46.61000000
## RepFlav 1.05600000 1.76775000 1.99400000 1.96720570 2.19725000
## RepNBI 0.81000000 12.70250000 18.19000000 18.73398734 24.45750000
## Max.
## RepAnth 0.25400000
## RepChl 59.67400000
## RepFlav 2.71400000
## RepNBI 43.49000000
## # A tibble: 2 x 5
## Rep. Anth Chl Flav NBI
## <fct> <dbl> <dbl> <dbl> <dbl>
## 1 Y1 0.0983 34.9 1.98 18.2
## 2 Y2 0.0977 36.6 1.95 19.2
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
There is no statistically significant differences between the two groups of measurements, this is a good sign indicative of the accuracy of the Dualex.
## Analysis of Variance Table
##
## Response: Dup$Anth
## Df Sum Sq Mean Sq F value Pr(>F)
## Dup$Rep. 1 0.00003 0.0000304 0.0151 0.9023
## Residuals 314 0.63303 0.0020160
##
## Call:
## lm(formula = Dup$Anth ~ Dup$Rep.)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.097302 -0.032682 0.000818 0.027568 0.156318
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 0.0983019 0.0035608 27.607 <2e-16 ***
## Dup$Rep.Y2 -0.0006204 0.0050518 -0.123 0.902
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.0449 on 314 degrees of freedom
## Multiple R-squared: 4.802e-05, Adjusted R-squared: -0.003137
## F-statistic: 0.01508 on 1 and 314 DF, p-value: 0.9023
## Analysis of Variance Table
##
## Response: Dup$Chl
## Df Sum Sq Mean Sq F value Pr(>F)
## Dup$Rep. 1 218 218.33 1.033 0.3102
## Residuals 314 66366 211.36
##
## Call:
## lm(formula = Dup$Chl ~ Dup$Rep.)
##
## Residuals:
## Min 1Q Median 3Q Max
## -33.185 -9.724 0.252 10.891 24.737
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 34.937 1.153 30.302 <2e-16 ***
## Dup$Rep.Y2 1.662 1.636 1.016 0.31
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 14.54 on 314 degrees of freedom
## Multiple R-squared: 0.003279, Adjusted R-squared: 0.0001048
## F-statistic: 1.033 on 1 and 314 DF, p-value: 0.3102
## Analysis of Variance Table
##
## Response: Dup$Flav
## Df Sum Sq Mean Sq F value Pr(>F)
## Dup$Rep. 1 0.0521 0.052129 0.6506 0.4205
## Residuals 314 25.1596 0.080126
##
## Call:
## lm(formula = Dup$Flav ~ Dup$Rep.)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.89828 -0.19930 0.01538 0.23197 0.73403
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 1.97997 0.02245 88.200 <2e-16 ***
## Dup$Rep.Y2 -0.02569 0.03185 -0.807 0.421
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.2831 on 314 degrees of freedom
## Multiple R-squared: 0.002068, Adjusted R-squared: -0.00111
## F-statistic: 0.6506 on 1 and 314 DF, p-value: 0.4205
## Analysis of Variance Table
##
## Response: Dup$NBI
## Df Sum Sq Mean Sq F value Pr(>F)
## Dup$Rep. 1 82.5 82.530 1.115 0.2918
## Residuals 314 23241.0 74.016
##
## Call:
## lm(formula = Dup$NBI ~ Dup$Rep.)
##
## Residuals:
## Min 1Q Median 3Q Max
## -17.4162 -5.9683 -0.7512 5.5938 24.2417
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 18.2262 0.6823 26.714 <2e-16 ***
## Dup$Rep.Y2 1.0221 0.9680 1.056 0.292
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 8.603 on 314 degrees of freedom
## Multiple R-squared: 0.003538, Adjusted R-squared: 0.000365
## F-statistic: 1.115 on 1 and 314 DF, p-value: 0.2918
The absence of statistically significant results indicates that our replicates are likely to be consistent.
Allocation refers to which group measurements were taken from, i.e. A Parental Tree (EC103 or EC201), Outgroup Tree (CG), Parental Offspring (F1)
## Min. 1st Qu. Median Mean 3rd Qu.
## AllAnth 0.00100000 0.06800000 0.09600000 0.09772877 0.12400000
## AllChl 0.13000000 24.10200000 36.21000000 35.21443342 46.82300000
## AllFlav 1.05600000 1.80600000 1.97800000 1.96440493 2.12800000
## AllNBI 0.07000000 12.14000000 18.64000000 18.34807123 24.44000000
## Max.
## AllAnth 0.69100000
## AllChl 59.90500000
## AllFlav 2.86100000
## AllNBI 49.17000000
## # A tibble: 4 x 5
## Allocation Anth Chl Flav NBI
## <fct> <dbl> <dbl> <dbl> <dbl>
## 1 CG 0.258 36.0 2.17 16.7
## 2 EC103 0.0588 52.6 1.60 33.1
## 3 EC201 0.0779 52.6 1.71 31.7
## 4 F1 0.0971 35.0 1.97 18.2
## Analysis of Variance Table
##
## Response: Data$Anth
## Df Sum Sq Mean Sq F value Pr(>F)
## Data$Allocation 3 0.3040 0.101343 47.474 < 2.2e-16 ***
## Residuals 1821 3.8873 0.002135
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Call:
## lm(formula = Data$Anth ~ Data$Allocation)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.15064 -0.02912 -0.00112 0.02688 0.43336
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 0.25764 0.01393 18.494 <2e-16 ***
## Data$AllocationEC103 -0.19880 0.01929 -10.308 <2e-16 ***
## Data$AllocationEC201 -0.17974 0.02019 -8.903 <2e-16 ***
## Data$AllocationF1 -0.16052 0.01397 -11.487 <2e-16 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.0462 on 1821 degrees of freedom
## Multiple R-squared: 0.07254, Adjusted R-squared: 0.07101
## F-statistic: 47.47 on 3 and 1821 DF, p-value: < 2.2e-16
## Analysis of Variance Table
##
## Response: Data$Chl
## Df Sum Sq Mean Sq F value Pr(>F)
## Data$Allocation 3 6742 2247.21 9.9149 1.748e-06 ***
## Residuals 1821 412728 226.65
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Call:
## lm(formula = Data$Chl ~ Data$Allocation)
##
## Residuals:
## Min 1Q Median 3Q Max
## -34.866 -10.918 1.121 11.493 24.909
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 36.028 4.539 7.937 3.58e-15 ***
## Data$AllocationEC103 16.564 6.284 2.636 0.00847 **
## Data$AllocationEC201 16.578 6.578 2.520 0.01181 *
## Data$AllocationF1 -1.032 4.553 -0.227 0.82066
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 15.05 on 1821 degrees of freedom
## Multiple R-squared: 0.01607, Adjusted R-squared: 0.01445
## F-statistic: 9.915 on 3 and 1821 DF, p-value: 1.748e-06
## Analysis of Variance Table
##
## Response: Data$Flav
## Df Sum Sq Mean Sq F value Pr(>F)
## Data$Allocation 3 2.713 0.90423 14.755 1.708e-09 ***
## Residuals 1821 111.598 0.06128
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Call:
## lm(formula = Data$Flav ~ Data$Allocation)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.9110 -0.1568 0.0110 0.1610 0.8940
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 2.16945 0.07464 29.065 < 2e-16 ***
## Data$AllocationEC103 -0.56962 0.10334 -5.512 4.05e-08 ***
## Data$AllocationEC201 -0.45865 0.10816 -4.240 2.34e-05 ***
## Data$AllocationF1 -0.20245 0.07487 -2.704 0.00691 **
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.2476 on 1821 degrees of freedom
## Multiple R-squared: 0.02373, Adjusted R-squared: 0.02212
## F-statistic: 14.75 on 3 and 1821 DF, p-value: 1.708e-09
## Analysis of Variance Table
##
## Response: Data$Chl
## Df Sum Sq Mean Sq F value Pr(>F)
## Data$Allocation 3 6742 2247.21 9.9149 1.748e-06 ***
## Residuals 1821 412728 226.65
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Call:
## lm(formula = Data$NBI ~ Data$Allocation)
##
## Residuals:
## Min 1Q Median 3Q Max
## -18.1144 -6.1044 0.3556 6.0656 30.9856
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 16.739 2.540 6.591 5.72e-11 ***
## Data$AllocationEC103 16.404 3.516 4.665 3.31e-06 ***
## Data$AllocationEC201 14.949 3.681 4.062 5.08e-05 ***
## Data$AllocationF1 1.445 2.548 0.567 0.571
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 8.424 on 1821 degrees of freedom
## Multiple R-squared: 0.03353, Adjusted R-squared: 0.03194
## F-statistic: 21.06 on 3 and 1821 DF, p-value: 2.069e-13
F1 Samples (Approx 3 years) appear more similar to that of the Crimson Glory plant than either/both parents - this is possibly due to age effects as CG is likely more similar in this regard being shorter (No age confirmed). ANOVAs incidate there is significant differences between the allocations - this is to be expected.
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## ParAnth 0.004000 0.048250 0.058000 0.067500 0.086750 0.156000
## ParChl 30.722000 50.356750 55.739000 52.598909 57.794750 59.757000
## ParFlav 1.293000 1.475000 1.594000 1.650273 1.821000 2.138000
## ParNBI 14.370000 29.872500 34.025000 32.481818 35.892500 44.880000
## # A tibble: 2 x 5
## Tree.ID Anth Chl Flav NBI
## <fct> <dbl> <dbl> <dbl> <dbl>
## 1 EC103 0.0588 52.6 1.60 33.1
## 2 EC201 0.0779 52.6 1.71 31.7
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
##
## Welch Two Sample t-test
##
## data: Parent$Anth by Parent$Tree.ID
## t = -1.2283, df = 19.107, p-value = 0.2342
## alternative hypothesis: true difference in means is not equal to 0
## 95 percent confidence interval:
## -0.05154327 0.01340994
## sample estimates:
## mean in group EC103 mean in group EC201
## 0.05883333 0.07790000
##
## Welch Two Sample t-test
##
## data: Parent$Chl by Parent$Tree.ID
## t = -0.003842, df = 17.804, p-value = 0.997
## alternative hypothesis: true difference in means is not equal to 0
## 95 percent confidence interval:
## -7.830954 7.802387
## sample estimates:
## mean in group EC103 mean in group EC201
## 52.59242 52.60670
##
## Welch Two Sample t-test
##
## data: Parent$Flav by Parent$Tree.ID
## t = -1.141, df = 19.612, p-value = 0.2676
## alternative hypothesis: true difference in means is not equal to 0
## 95 percent confidence interval:
## -0.31409194 0.09215861
## sample estimates:
## mean in group EC103 mean in group EC201
## 1.599833 1.710800
##
## Welch Two Sample t-test
##
## data: Parent$NBI by Parent$Tree.ID
## t = 0.47573, df = 14.7, p-value = 0.6413
## alternative hypothesis: true difference in means is not equal to 0
## 95 percent confidence interval:
## -5.076667 7.987334
## sample estimates:
## mean in group EC103 mean in group EC201
## 33.14333 31.68800
Interesting sample pattern here, Chl and NBI start low and work high, Flav does the opposite. Maybe accuracy of measurements?
## # A tibble: 6 x 5
## Tree.ID Chl NBI Anth Flav
## <fct> <dbl> <dbl> <dbl> <dbl>
## 1 IN4BT 34.5 16.2 0.110 2.17
## 2 IN4BV 27.5 13.8 0.121 2.01
## 3 IN4BW 24.8 12.5 0.127 1.99
## 4 IN4BX 37.6 18.4 0.0905 2.05
## 5 IN4BY 24.2 12.5 0.110 1.98
## 6 IN4BZ 32.0 15.6 0.106 2.09
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
## Analysis of Variance Table
##
## Response: F1$Anth
## Df Sum Sq Mean Sq F value Pr(>F)
## F1$Tree.ID 158 0.5253 0.0033247 1.8093 2.001e-08 ***
## Residuals 1633 3.0007 0.0018376
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
## Analysis of Variance Table
##
## Response: F1$Chl
## Df Sum Sq Mean Sq F value Pr(>F)
## F1$Tree.ID 158 47130 298.29 1.3395 0.004474 **
## Residuals 1633 363634 222.68
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
## Analysis of Variance Table
##
## Response: F1$Flav
## Df Sum Sq Mean Sq F value Pr(>F)
## F1$Tree.ID 158 25.118 0.15897 3.0531 < 2.2e-16 ***
## Residuals 1633 85.030 0.05207
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
## Analysis of Variance Table
##
## Response: F1$NBI
## Df Sum Sq Mean Sq F value Pr(>F)
## F1$Tree.ID 158 16378 103.661 1.5147 8.435e-05 ***
## Residuals 1633 111761 68.439
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Msr = group_by(F1, Tree.ID, measure)
Msr = summarise(Msr, Anth = mean(Anth), Flav = mean(Flav), Chl = mean(Chl),NBI = mean(NBI))
#Select Random Column
#sample(1:4,10, replace = T)
#[1] 3 3 2 1 1 4 1 2 4 3
#Select Random Row
#sample(1:50,10, replace = T)
#[1] 34 37 44 20 44 47 9 19 22 40
## # A tibble: 3 x 5
## Height Anth Chl Flav NBI
## <fct> <dbl> <dbl> <dbl> <dbl>
## 1 H 0.105 33.9 1.93 17.9
## 2 L 0.0968 35.6 1.98 18.5
## 3 M 0.0913 35.3 1.98 18.1
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
## Analysis of Variance Table
##
## Response: F1$Anth
## Df Sum Sq Mean Sq F value Pr(>F)
## F1$Height 2 0.0526 0.0262759 13.533 1.468e-06 ***
## Residuals 1789 3.4735 0.0019416
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Call:
## lm(formula = F1$Anth ~ F1$Height)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.10400 -0.02878 -0.00056 0.02666 0.37800
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 0.105002 0.001973 53.232 < 2e-16 ***
## F1$HeightL -0.008225 0.002622 -3.137 0.00173 **
## F1$HeightM -0.013666 0.002630 -5.197 2.26e-07 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.04406 on 1789 degrees of freedom
## Multiple R-squared: 0.0149, Adjusted R-squared: 0.0138
## F-statistic: 13.53 on 2 and 1789 DF, p-value: 1.468e-06
## Analysis of Variance Table
##
## Response: F1$Chl
## Df Sum Sq Mean Sq F value Pr(>F)
## F1$Height 2 853 426.30 1.8605 0.1559
## Residuals 1789 409911 229.13
##
## Call:
## lm(formula = F1$Chl ~ F1$Height)
##
## Residuals:
## Min 1Q Median 3Q Max
## -35.125 -11.129 1.178 11.731 25.998
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 33.9073 0.6776 50.038 <2e-16 ***
## F1$HeightL 1.6673 0.9006 1.851 0.0643 .
## F1$HeightM 1.3481 0.9034 1.492 0.1358
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 15.14 on 1789 degrees of freedom
## Multiple R-squared: 0.002076, Adjusted R-squared: 0.00096
## F-statistic: 1.861 on 2 and 1789 DF, p-value: 0.1559
## Analysis of Variance Table
##
## Response: F1$Flav
## Df Sum Sq Mean Sq F value Pr(>F)
## F1$Height 2 0.915 0.45758 7.4943 0.0005739 ***
## Residuals 1789 109.232 0.06106
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Call:
## lm(formula = F1$Flav ~ F1$Height)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.9225 -0.1490 0.0170 0.1655 0.8775
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 1.93079 0.01106 174.548 < 2e-16 ***
## F1$HeightL 0.04770 0.01470 3.245 0.00120 **
## F1$HeightM 0.05272 0.01475 3.575 0.00036 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.2471 on 1789 degrees of freedom
## Multiple R-squared: 0.008309, Adjusted R-squared: 0.0072
## F-statistic: 7.494 on 2 and 1789 DF, p-value: 0.0005739
## Analysis of Variance Table
##
## Response: F1$NBI
## Df Sum Sq Mean Sq F value Pr(>F)
## F1$Height 2 100 50.044 0.6992 0.4971
## Residuals 1789 128039 71.570
##
## Call:
## lm(formula = F1$NBI ~ F1$Height)
##
## Residuals:
## Min 1Q Median 3Q Max
## -18.0776 -6.1206 0.3474 6.0613 31.0224
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 17.8703 0.3787 47.186 <2e-16 ***
## F1$HeightL 0.5912 0.5034 1.175 0.240
## F1$HeightM 0.2772 0.5049 0.549 0.583
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 8.46 on 1789 degrees of freedom
## Multiple R-squared: 0.0007811, Adjusted R-squared: -0.000336
## F-statistic: 0.6992 on 2 and 1789 DF, p-value: 0.4971
## # A tibble: 6 x 6
## # Groups: Height [1]
## Height Tree.ID Anth Chl Flav NBI
## <fct> <fct> <dbl> <dbl> <dbl> <dbl>
## 1 H IN4BT 0.116 43.6 2.09 21.1
## 2 H IN4BV 0.104 28.1 1.93 14.7
## 3 H IN4BW 0.12 18.5 2.06 9.15
## 4 H IN4BX 0.0875 43.2 2.13 20.3
## 5 H IN4BY 0.121 27.7 1.96 14.3
## 6 H IN4BZ 0.0817 39.1 2.10 18.5
## Analysis of Variance Table
##
## Response: High$Anth
## Df Sum Sq Mean Sq F value Pr(>F)
## Low$Anth 1 0.009644 0.0096440 10.431 0.00151 **
## Residuals 157 0.145162 0.0009246
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Call:
## lm(formula = High$Anth ~ Low$Anth)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.082724 -0.020196 -0.001244 0.020111 0.095669
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 0.075038 0.009659 7.769 9.67e-13 ***
## Low$Anth 0.312539 0.096773 3.230 0.00151 **
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.03041 on 157 degrees of freedom
## Multiple R-squared: 0.0623, Adjusted R-squared: 0.05632
## F-statistic: 10.43 on 1 and 157 DF, p-value: 0.00151
## Analysis of Variance Table
##
## Response: High$Anth
## Df Sum Sq Mean Sq F value Pr(>F)
## Mid$Anth 1 0.001607 0.00160739 1.6473 0.2012
## Residuals 157 0.153198 0.00097579
##
## Call:
## lm(formula = High$Anth ~ Mid$Anth)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.080176 -0.019699 -0.001994 0.017792 0.120025
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 0.09193 0.01067 8.616 6.97e-15 ***
## Mid$Anth 0.14627 0.11397 1.283 0.201
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.03124 on 157 degrees of freedom
## Multiple R-squared: 0.01038, Adjusted R-squared: 0.00408
## F-statistic: 1.647 on 1 and 157 DF, p-value: 0.2012
## Analysis of Variance Table
##
## Response: Mid$Anth
## Df Sum Sq Mean Sq F value Pr(>F)
## Low$Anth 1 0.002597 0.00259684 5.6212 0.01896 *
## Residuals 157 0.072529 0.00046197
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Call:
## lm(formula = Mid$Anth ~ Low$Anth)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.074218 -0.012195 -0.000834 0.013593 0.058269
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 0.075378 0.006828 11.040 <2e-16 ***
## Low$Anth 0.162181 0.068404 2.371 0.019 *
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.02149 on 157 degrees of freedom
## Multiple R-squared: 0.03457, Adjusted R-squared: 0.02842
## F-statistic: 5.621 on 1 and 157 DF, p-value: 0.01896
## Analysis of Variance Table
##
## Response: High$Chl
## Df Sum Sq Mean Sq F value Pr(>F)
## Low$Chl 1 40.6 40.577 0.4215 0.5171
## Residuals 157 15112.7 96.259
##
## Call:
## lm(formula = High$Chl ~ Low$Chl)
##
## Residuals:
## Min 1Q Median 3Q Max
## -24.4732 -6.5662 0.8979 6.6457 24.2522
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 36.03022 3.39455 10.614 <2e-16 ***
## Low$Chl -0.05995 0.09234 -0.649 0.517
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 9.811 on 157 degrees of freedom
## Multiple R-squared: 0.002678, Adjusted R-squared: -0.003675
## F-statistic: 0.4215 on 1 and 157 DF, p-value: 0.5171
## Analysis of Variance Table
##
## Response: High$Chl
## Df Sum Sq Mean Sq F value Pr(>F)
## Mid$Chl 1 6.5 6.517 0.0676 0.7953
## Residuals 157 15146.8 96.476
##
## Call:
## lm(formula = High$Chl ~ Mid$Chl)
##
## Residuals:
## Min 1Q Median 3Q Max
## -24.3314 -6.5596 0.9516 7.1975 23.9071
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 34.75595 3.44048 10.10 <2e-16 ***
## Mid$Chl -0.02468 0.09494 -0.26 0.795
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 9.822 on 157 degrees of freedom
## Multiple R-squared: 0.0004301, Adjusted R-squared: -0.005937
## F-statistic: 0.06755 on 1 and 157 DF, p-value: 0.7953
## Analysis of Variance Table
##
## Response: Mid$Chl
## Df Sum Sq Mean Sq F value Pr(>F)
## Low$Chl 1 86.5 86.465 1.2786 0.2599
## Residuals 157 10617.2 67.625
##
## Call:
## lm(formula = Mid$Chl ~ Low$Chl)
##
## Residuals:
## Min 1Q Median 3Q Max
## -20.2237 -4.2267 0.5812 5.1386 17.4487
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 32.16619 2.84521 11.305 <2e-16 ***
## Low$Chl 0.08752 0.07740 1.131 0.26
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 8.223 on 157 degrees of freedom
## Multiple R-squared: 0.008078, Adjusted R-squared: 0.00176
## F-statistic: 1.279 on 1 and 157 DF, p-value: 0.2599
## Analysis of Variance Table
##
## Response: High$Flav
## Df Sum Sq Mean Sq F value Pr(>F)
## Low$Flav 1 0.15207 0.152067 7.9384 0.005462 **
## Residuals 157 3.00745 0.019156
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Call:
## lm(formula = High$Flav ~ Low$Flav)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.69197 -0.07612 0.01771 0.09061 0.31947
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 1.59267 0.11926 13.355 < 2e-16 ***
## Low$Flav 0.16916 0.06004 2.818 0.00546 **
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.1384 on 157 degrees of freedom
## Multiple R-squared: 0.04813, Adjusted R-squared: 0.04207
## F-statistic: 7.938 on 1 and 157 DF, p-value: 0.005462
## Analysis of Variance Table
##
## Response: High$Flav
## Df Sum Sq Mean Sq F value Pr(>F)
## Mid$Flav 1 0.36919 0.36919 20.773 1.034e-05 ***
## Residuals 157 2.79032 0.01777
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Call:
## lm(formula = High$Flav ~ Mid$Flav)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.69325 -0.06998 0.01107 0.09397 0.33382
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 1.30244 0.13749 9.473 < 2e-16 ***
## Mid$Flav 0.31517 0.06915 4.558 1.03e-05 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.1333 on 157 degrees of freedom
## Multiple R-squared: 0.1169, Adjusted R-squared: 0.1112
## F-statistic: 20.77 on 1 and 157 DF, p-value: 1.034e-05
## Analysis of Variance Table
##
## Response: Mid$Flav
## Df Sum Sq Mean Sq F value Pr(>F)
## Low$Flav 1 0.5438 0.54376 26.906 6.506e-07 ***
## Residuals 157 3.1729 0.02021
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Call:
## lm(formula = Mid$Flav ~ Low$Flav)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.42522 -0.08825 0.00511 0.08340 0.47765
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 1.34975 0.12249 11.019 < 2e-16 ***
## Low$Flav 0.31987 0.06167 5.187 6.51e-07 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.1422 on 157 degrees of freedom
## Multiple R-squared: 0.1463, Adjusted R-squared: 0.1409
## F-statistic: 26.91 on 1 and 157 DF, p-value: 6.506e-07
## Analysis of Variance Table
##
## Response: High$NBI
## Df Sum Sq Mean Sq F value Pr(>F)
## Low$NBI 1 12.2 12.156 0.4216 0.5171
## Residuals 157 4527.1 28.835
##
## Call:
## lm(formula = High$NBI ~ Low$NBI)
##
## Residuals:
## Min 1Q Median 3Q Max
## -12.3802 -3.4352 -0.0889 3.7378 11.3144
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 18.88822 1.61024 11.730 <2e-16 ***
## Low$NBI -0.05431 0.08365 -0.649 0.517
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 5.37 on 157 degrees of freedom
## Multiple R-squared: 0.002678, Adjusted R-squared: -0.003674
## F-statistic: 0.4216 on 1 and 157 DF, p-value: 0.5171
## Analysis of Variance Table
##
## Response: High$NBI
## Df Sum Sq Mean Sq F value Pr(>F)
## Mid$NBI 1 5.6 5.6094 0.1943 0.66
## Residuals 157 4533.7 28.8769
##
## Call:
## lm(formula = High$NBI ~ Mid$NBI)
##
## Residuals:
## Min 1Q Median 3Q Max
## -12.1320 -3.5765 0.0304 4.0196 11.0499
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 18.61881 1.72974 10.764 <2e-16 ***
## Mid$NBI -0.04062 0.09217 -0.441 0.66
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 5.374 on 157 degrees of freedom
## Multiple R-squared: 0.001236, Adjusted R-squared: -0.005126
## F-statistic: 0.1943 on 1 and 157 DF, p-value: 0.66
## Analysis of Variance Table
##
## Response: Mid$NBI
## Df Sum Sq Mean Sq F value Pr(>F)
## Low$NBI 1 106.0 105.990 5.0525 0.02598 *
## Residuals 157 3293.5 20.978
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Call:
## lm(formula = Mid$NBI ~ Low$NBI)
##
## Residuals:
## Min 1Q Median 3Q Max
## -11.0884 -2.6169 -0.0763 2.5932 11.7726
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 15.21189 1.37343 11.076 <2e-16 ***
## Low$NBI 0.16038 0.07135 2.248 0.026 *
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 4.58 on 157 degrees of freedom
## Multiple R-squared: 0.03118, Adjusted R-squared: 0.02501
## F-statistic: 5.053 on 1 and 157 DF, p-value: 0.02598
## # A tibble: 6 x 5
## Row Chl NBI Anth Flav
## <fct> <dbl> <dbl> <dbl> <dbl>
## 1 1 35.6 17.3 0.107 2.09
## 2 10 30.5 15.7 0.112 1.98
## 3 11 29.9 15.0 0.112 2.04
## 4 12 34.6 18.7 0.0968 1.84
## 5 13 31.3 17.5 0.107 1.86
## 6 14 35.0 17.9 0.0888 1.98
## Row Chl NBI Anth
## 17 :1 Min. :32.13 Min. :17.14 Min. :0.1163
## 0 :0 1st Qu.:32.13 1st Qu.:17.14 1st Qu.:0.1163
## 1 :0 Median :32.13 Median :17.14 Median :0.1163
## 10 :0 Mean :32.13 Mean :17.14 Mean :0.1163
## 11 :0 3rd Qu.:32.13 3rd Qu.:17.14 3rd Qu.:0.1163
## 12 :0 Max. :32.13 Max. :17.14 Max. :0.1163
## (Other):0
## Flav
## Min. :1.887
## 1st Qu.:1.887
## Median :1.887
## Mean :1.887
## 3rd Qu.:1.887
## Max. :1.887
##
## Row Chl NBI Anth
## 1 : 1 Min. :29.19 Min. :14.38 Min. :0.07868
## 10 : 1 1st Qu.:32.02 1st Qu.:16.44 1st Qu.:0.08535
## 11 : 1 Median :34.38 Median :17.81 Median :0.09354
## 14 : 1 Mean :34.97 Mean :18.12 Mean :0.09677
## 15 : 1 3rd Qu.:37.05 3rd Qu.:19.46 3rd Qu.:0.10917
## 16 : 1 Max. :43.89 Max. :23.16 Max. :0.12239
## (Other):33
## Flav
## Min. :1.820
## 1st Qu.:1.931
## Median :1.974
## Mean :1.973
## 3rd Qu.:2.037
## Max. :2.092
##
## Row Chl NBI Anth
## 12 :1 Min. :31.33 Min. :16.99 Min. :0.08183
## 13 :1 1st Qu.:34.20 1st Qu.:17.74 1st Qu.:0.09326
## 23 :1 Median :35.08 Median :18.29 Median :0.09747
## 32 :1 Mean :35.09 Mean :18.48 Mean :0.09702
## 41 :1 3rd Qu.:36.36 3rd Qu.:19.10 3rd Qu.:0.10265
## 45 :1 Max. :38.42 Max. :20.71 Max. :0.10721
## (Other):4
## Flav
## Min. :1.839
## 1st Qu.:1.898
## Median :1.944
## Mean :1.941
## 3rd Qu.:1.995
## Max. :2.032
##
## [1] 0.0001562666
## [1] 6.039853e-05
## [1] 14.76679
## [1] 4.10476
## [1] 0.004848629
## [1] 0.004125519
## [1] 5.602987
## [1] 1.155704
##
## Welch Two Sample t-test
##
## data: R4$Anth and R3$Anth
## t = 0.081174, df = 22.551, p-value = 0.936
## alternative hypothesis: true difference in means is not equal to 0
## 95 percent confidence interval:
## -0.006306855 0.006821440
## sample estimates:
## mean of x mean of y
## 0.09702315 0.09676586
##
## Welch Two Sample t-test
##
## data: R4$Chl and R3$Chl
## t = 0.13309, df = 27.683, p-value = 0.8951
## alternative hypothesis: true difference in means is not equal to 0
## 95 percent confidence interval:
## -1.702350 1.938809
## sample estimates:
## mean of x mean of y
## 35.08876 34.97053
##
## Welch Two Sample t-test
##
## data: R4$Flav and R3$Flav
## t = -1.3877, df = 14.921, p-value = 0.1856
## alternative hypothesis: true difference in means is not equal to 0
## 95 percent confidence interval:
## -0.08156262 0.01725693
## sample estimates:
## mean of x mean of y
## 1.941185 1.973338
##
## Welch Two Sample t-test
##
## data: R4$Flav and R3$Flav
## t = -1.3877, df = 14.921, p-value = 0.1856
## alternative hypothesis: true difference in means is not equal to 0
## 95 percent confidence interval:
## -0.08156262 0.01725693
## sample estimates:
## mean of x mean of y
## 1.941185 1.973338
There appears to be no signficant differences between Rows with 3 trees and rows with 4 trees for any of the measures.
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
## Analysis of Variance Table
##
## Response: F1$Anth
## Df Sum Sq Mean Sq F value Pr(>F)
## F1$Row 49 0.2346 0.0047878 2.5339 4.261e-08 ***
## Residuals 1742 3.2914 0.0018895
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Call:
## lm(formula = F1$Anth ~ F1$Row)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.10706 -0.02869 -0.00143 0.02548 0.36668
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 0.1073750 0.0062741 17.114 < 2e-16 ***
## F1$Row10 0.0048125 0.0099202 0.485 0.62765
## F1$Row11 0.0042781 0.0088275 0.485 0.62800
## F1$Row12 -0.0105625 0.0099202 -1.065 0.28714
## F1$Row13 -0.0001681 0.0102234 -0.016 0.98688
## F1$Row14 -0.0185871 0.0098296 -1.891 0.05880 .
## F1$Row15 -0.0234053 0.0098296 -2.381 0.01737 *
## F1$Row16 -0.0104750 0.0101166 -1.035 0.30061
## F1$Row17 0.0089432 0.0111914 0.799 0.42434
## F1$Row18 -0.0181083 0.0101166 -1.790 0.07363 .
## F1$Row19 -0.0229508 0.0098296 -2.335 0.01966 *
## F1$Row2 0.0097462 0.0098296 0.992 0.32157
## F1$Row20 0.0031477 0.0090723 0.347 0.72866
## F1$Row21 -0.0138345 0.0095095 -1.455 0.14590
## F1$Row22 -0.0216780 0.0098296 -2.205 0.02756 *
## F1$Row23 -0.0131424 0.0091271 -1.440 0.15007
## F1$Row24 -0.0117083 0.0098296 -1.191 0.23376
## F1$Row25 -0.0260720 0.0098296 -2.652 0.00806 **
## F1$Row26 -0.0192460 0.0100157 -1.922 0.05482 .
## F1$Row27 -0.0223750 0.0099202 -2.256 0.02422 *
## F1$Row28 -0.0238598 0.0098296 -2.427 0.01531 *
## F1$Row29 -0.0226250 0.0099202 -2.281 0.02269 *
## F1$Row3 0.0150189 0.0098296 1.528 0.12671
## F1$Row30 -0.0117750 0.0101166 -1.164 0.24461
## F1$Row31 -0.0224680 0.0091271 -2.462 0.01393 *
## F1$Row32 -0.0092386 0.0090723 -1.018 0.30866
## F1$Row33 -0.0057083 0.0098296 -0.581 0.56150
## F1$Row34 -0.0045795 0.0090723 -0.505 0.61377
## F1$Row35 -0.0167972 0.0090195 -1.862 0.06273 .
## F1$Row36 -0.0227188 0.0099202 -2.290 0.02213 *
## F1$Row37 0.0010938 0.0099202 0.110 0.91222
## F1$Row38 -0.0286976 0.0100157 -2.865 0.00422 **
## F1$Row39 -0.0092841 0.0098296 -0.945 0.34504
## F1$Row4 0.0041402 0.0098296 0.421 0.67367
## F1$Row40 -0.0195568 0.0098296 -1.990 0.04679 *
## F1$Row41 -0.0255452 0.0089199 -2.864 0.00424 **
## F1$Row42 -0.0197992 0.0098296 -2.014 0.04414 *
## F1$Row43 0.0003024 0.0100157 0.030 0.97592
## F1$Row44 -0.0279687 0.0099202 -2.819 0.00487 **
## F1$Row45 -0.0064913 0.0091271 -0.711 0.47705
## F1$Row46 -0.0186541 0.0091271 -2.044 0.04112 *
## F1$Row47 -0.0179331 0.0091271 -1.965 0.04959 *
## F1$Row48 -0.0145265 0.0098296 -1.478 0.13963
## F1$Row49 -0.0018523 0.0090723 -0.204 0.83825
## F1$Row5 0.0025000 0.0099202 0.252 0.80106
## F1$Row50 -0.0144452 0.0085154 -1.696 0.09000 .
## F1$Row6 0.0081402 0.0098296 0.828 0.40771
## F1$Row7 0.0046856 0.0098296 0.477 0.63365
## F1$Row8 0.0058371 0.0098296 0.594 0.55270
## F1$Row9 -0.0041397 0.0097435 -0.425 0.67099
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.04347 on 1742 degrees of freedom
## Multiple R-squared: 0.06653, Adjusted R-squared: 0.04028
## F-statistic: 2.534 on 49 and 1742 DF, p-value: 4.261e-08
## Analysis of Variance Table
##
## Response: F1$Chl
## Df Sum Sq Mean Sq F value Pr(>F)
## F1$Row 49 21394 436.61 1.9533 0.0001046 ***
## Residuals 1742 389370 223.52
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Call:
## lm(formula = F1$Chl ~ F1$Row)
##
## Residuals:
## Min 1Q Median 3Q Max
## -40.413 -10.894 1.242 11.481 30.448
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 35.60971 2.15793 16.502 < 2e-16 ***
## F1$Row10 -5.14374 3.41198 -1.508 0.13185
## F1$Row11 -5.74022 3.03616 -1.891 0.05884 .
## F1$Row12 -1.01233 3.41198 -0.297 0.76673
## F1$Row13 -4.27923 3.51628 -1.217 0.22378
## F1$Row14 -0.61937 3.38082 -0.183 0.85466
## F1$Row15 1.65378 3.38082 0.489 0.62479
## F1$Row16 -3.99147 3.47955 -1.147 0.25149
## F1$Row17 -3.48321 3.84923 -0.905 0.36564
## F1$Row18 1.16199 3.47955 0.334 0.73846
## F1$Row19 2.90441 3.38082 0.859 0.39041
## F1$Row2 -2.34353 3.38082 -0.693 0.48829
## F1$Row20 -4.09409 3.12036 -1.312 0.18967
## F1$Row21 0.38418 3.27073 0.117 0.90651
## F1$Row22 3.63681 3.38082 1.076 0.28220
## F1$Row23 -2.64469 3.13923 -0.842 0.39964
## F1$Row24 5.27790 3.38082 1.561 0.11868
## F1$Row25 -3.62007 3.38082 -1.071 0.28442
## F1$Row26 -1.39948 3.44484 -0.406 0.68461
## F1$Row27 1.77514 3.41198 0.520 0.60294
## F1$Row28 4.12320 3.38082 1.220 0.22279
## F1$Row29 -3.99736 3.41198 -1.172 0.24153
## F1$Row3 -6.23456 3.38082 -1.844 0.06534 .
## F1$Row30 -3.53704 3.47955 -1.017 0.30952
## F1$Row31 -3.42287 3.13923 -1.090 0.27571
## F1$Row32 -0.77555 3.12036 -0.249 0.80374
## F1$Row33 -0.33325 3.38082 -0.099 0.92149
## F1$Row34 1.23636 3.12036 0.396 0.69199
## F1$Row35 -2.29620 3.10222 -0.740 0.45929
## F1$Row36 8.27757 3.41198 2.426 0.01537 *
## F1$Row37 -1.77386 3.41198 -0.520 0.60320
## F1$Row38 -1.43439 3.44484 -0.416 0.67718
## F1$Row39 0.04399 3.38082 0.013 0.98962
## F1$Row4 -1.78822 3.38082 -0.529 0.59692
## F1$Row40 -0.92319 3.38082 -0.273 0.78483
## F1$Row41 2.81091 3.06796 0.916 0.35968
## F1$Row42 -0.37553 3.38082 -0.111 0.91157
## F1$Row43 -1.22577 3.44484 -0.356 0.72201
## F1$Row44 5.75920 3.41198 1.688 0.09160 .
## F1$Row45 0.46136 3.13923 0.147 0.88318
## F1$Row46 8.12597 3.13923 2.589 0.00972 **
## F1$Row47 -1.54250 3.13923 -0.491 0.62323
## F1$Row48 4.76123 3.38082 1.408 0.15922
## F1$Row49 1.19911 3.12036 0.384 0.70081
## F1$Row5 -6.42083 3.41198 -1.882 0.06002 .
## F1$Row50 0.84736 2.92883 0.289 0.77237
## F1$Row6 -5.65228 3.38082 -1.672 0.09473 .
## F1$Row7 -3.55077 3.38082 -1.050 0.29374
## F1$Row8 -4.13159 3.38082 -1.222 0.22185
## F1$Row9 -0.27394 3.35123 -0.082 0.93486
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 14.95 on 1742 degrees of freedom
## Multiple R-squared: 0.05208, Adjusted R-squared: 0.02542
## F-statistic: 1.953 on 49 and 1742 DF, p-value: 0.0001046
## Analysis of Variance Table
##
## Response: F1$Flav
## Df Sum Sq Mean Sq F value Pr(>F)
## F1$Row 49 8.215 0.167646 2.865 3.11e-10 ***
## Residuals 1742 101.933 0.058515
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Call:
## lm(formula = F1$Flav ~ F1$Row)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.88839 -0.14557 0.01515 0.15267 0.88624
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 2.09202 0.03492 59.918 < 2e-16 ***
## F1$Row10 -0.11215 0.05521 -2.031 0.042363 *
## F1$Row11 -0.05149 0.04912 -1.048 0.294714
## F1$Row12 -0.25255 0.05521 -4.575 5.10e-06 ***
## F1$Row13 -0.22999 0.05689 -4.042 5.52e-05 ***
## F1$Row14 -0.10878 0.05470 -1.989 0.046903 *
## F1$Row15 -0.11726 0.05470 -2.144 0.032195 *
## F1$Row16 -0.02269 0.05630 -0.403 0.687009
## F1$Row17 -0.20525 0.06228 -3.296 0.001002 **
## F1$Row18 -0.16125 0.05630 -2.864 0.004230 **
## F1$Row19 -0.19360 0.05470 -3.539 0.000412 ***
## F1$Row2 -0.04748 0.05470 -0.868 0.385568
## F1$Row20 -0.15895 0.05049 -3.148 0.001670 **
## F1$Row21 -0.15675 0.05292 -2.962 0.003098 **
## F1$Row22 -0.23066 0.05470 -4.217 2.61e-05 ***
## F1$Row23 -0.09460 0.05079 -1.863 0.062697 .
## F1$Row24 -0.16372 0.05470 -2.993 0.002802 **
## F1$Row25 -0.23341 0.05470 -4.267 2.09e-05 ***
## F1$Row26 -0.13167 0.05574 -2.362 0.018273 *
## F1$Row27 -0.10805 0.05521 -1.957 0.050475 .
## F1$Row28 -0.13035 0.05470 -2.383 0.017278 *
## F1$Row29 -0.12680 0.05521 -2.297 0.021742 *
## F1$Row3 -0.01026 0.05470 -0.188 0.851194
## F1$Row30 -0.16945 0.05630 -3.010 0.002651 **
## F1$Row31 -0.09430 0.05079 -1.857 0.063540 .
## F1$Row32 -0.09725 0.05049 -1.926 0.054242 .
## F1$Row33 -0.09214 0.05470 -1.684 0.092272 .
## F1$Row34 -0.18850 0.05049 -3.734 0.000195 ***
## F1$Row35 -0.15069 0.05019 -3.002 0.002719 **
## F1$Row36 -0.05824 0.05521 -1.055 0.291590
## F1$Row37 -0.16124 0.05521 -2.921 0.003537 **
## F1$Row38 -0.14415 0.05574 -2.586 0.009783 **
## F1$Row39 -0.17778 0.05470 -3.250 0.001176 **
## F1$Row4 -0.02951 0.05470 -0.539 0.589682
## F1$Row40 -0.13281 0.05470 -2.428 0.015288 *
## F1$Row41 -0.19666 0.04964 -3.962 7.74e-05 ***
## F1$Row42 -0.11769 0.05470 -2.151 0.031577 *
## F1$Row43 -0.07563 0.05574 -1.357 0.174966
## F1$Row44 -0.27177 0.05521 -4.923 9.33e-07 ***
## F1$Row45 -0.18435 0.05079 -3.629 0.000292 ***
## F1$Row46 -0.05123 0.05079 -1.009 0.313298
## F1$Row47 -0.15672 0.05079 -3.085 0.002064 **
## F1$Row48 -0.26532 0.05470 -4.850 1.34e-06 ***
## F1$Row49 -0.06002 0.05049 -1.189 0.234666
## F1$Row5 -0.02930 0.05521 -0.531 0.595637
## F1$Row50 -0.13858 0.04739 -2.924 0.003496 **
## F1$Row6 -0.06148 0.05470 -1.124 0.261237
## F1$Row7 -0.05163 0.05470 -0.944 0.345405
## F1$Row8 -0.04045 0.05470 -0.739 0.459776
## F1$Row9 -0.09764 0.05422 -1.801 0.071923 .
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.2419 on 1742 degrees of freedom
## Multiple R-squared: 0.07458, Adjusted R-squared: 0.04855
## F-statistic: 2.865 on 49 and 1742 DF, p-value: 3.11e-10
## Analysis of Variance Table
##
## Response: F1$NBI
## Df Sum Sq Mean Sq F value Pr(>F)
## F1$Row 49 7866 160.527 2.325 8.14e-07 ***
## Residuals 1742 120273 69.043
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Call:
## lm(formula = F1$NBI ~ F1$Row)
##
## Residuals:
## Min 1Q Median 3Q Max
## -21.363 -5.865 0.293 5.735 27.930
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 17.26875 1.19933 14.399 < 2e-16 ***
## F1$Row10 -1.56500 1.89631 -0.825 0.40932
## F1$Row11 -2.28691 1.68744 -1.355 0.17551
## F1$Row12 1.47531 1.89631 0.778 0.43668
## F1$Row13 0.25401 1.95428 0.130 0.89660
## F1$Row14 0.67125 1.87899 0.357 0.72096
## F1$Row15 1.85549 1.87899 0.987 0.32354
## F1$Row16 -2.00775 1.93387 -1.038 0.29932
## F1$Row17 -0.12557 2.13933 -0.059 0.95320
## F1$Row18 2.28558 1.93387 1.182 0.23742
## F1$Row19 3.97125 1.87899 2.113 0.03470 *
## F1$Row2 -0.72148 1.87899 -0.384 0.70105
## F1$Row20 -0.83943 1.73423 -0.484 0.62842
## F1$Row21 2.09990 1.81781 1.155 0.24817
## F1$Row22 4.36943 1.87899 2.325 0.02016 *
## F1$Row23 -0.27782 1.74472 -0.159 0.87350
## F1$Row24 4.69125 1.87899 2.497 0.01263 *
## F1$Row25 0.50186 1.87899 0.267 0.78943
## F1$Row26 0.80899 1.91457 0.423 0.67268
## F1$Row27 2.04687 1.89631 1.079 0.28056
## F1$Row28 3.12670 1.87899 1.664 0.09629 .
## F1$Row29 -0.65781 1.89631 -0.347 0.72872
## F1$Row3 -2.76148 1.87899 -1.470 0.14183
## F1$Row30 -0.51508 1.93387 -0.266 0.79000
## F1$Row31 -0.87224 1.74472 -0.500 0.61719
## F1$Row32 0.37489 1.73423 0.216 0.82888
## F1$Row33 0.87398 1.87899 0.465 0.64190
## F1$Row34 2.52602 1.73423 1.457 0.14542
## F1$Row35 -0.03119 1.72415 -0.018 0.98557
## F1$Row36 4.51719 1.89631 2.382 0.01732 *
## F1$Row37 0.44281 1.89631 0.234 0.81539
## F1$Row38 0.69964 1.91457 0.365 0.71484
## F1$Row39 1.77064 1.87899 0.942 0.34615
## F1$Row4 -0.81481 1.87899 -0.434 0.66460
## F1$Row40 0.53731 1.87899 0.286 0.77495
## F1$Row41 3.43636 1.70511 2.015 0.04402 *
## F1$Row42 1.24246 1.87899 0.661 0.50855
## F1$Row43 0.42512 1.91457 0.222 0.82431
## F1$Row44 5.89375 1.89631 3.108 0.00191 **
## F1$Row45 2.04334 1.74472 1.171 0.24170
## F1$Row46 4.21241 1.74472 2.414 0.01586 *
## F1$Row47 0.88823 1.74472 0.509 0.61075
## F1$Row48 5.28852 1.87899 2.815 0.00494 **
## F1$Row49 1.15534 1.73423 0.666 0.50537
## F1$Row5 -2.88469 1.89631 -1.521 0.12839
## F1$Row50 1.95318 1.62778 1.200 0.23034
## F1$Row6 -2.31784 1.87899 -1.234 0.21754
## F1$Row7 -1.48299 1.87899 -0.789 0.43007
## F1$Row8 -1.87905 1.87899 -1.000 0.31743
## F1$Row9 0.76713 1.86255 0.412 0.68048
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 8.309 on 1742 degrees of freedom
## Multiple R-squared: 0.06139, Adjusted R-squared: 0.03498
## F-statistic: 2.325 on 49 and 1742 DF, p-value: 8.14e-07
## # A tibble: 4 x 5
## Column Chl NBI Anth Flav
## <fct> <dbl> <dbl> <dbl> <dbl>
## 1 1 33.8 17.2 0.0945 2.01
## 2 2 35.4 18.6 0.0992 1.94
## 3 3 36.0 18.7 0.0990 1.96
## 4 4 34.3 18.7 0.0912 1.88
## 0 1 2 3 4
## 0 592 556 539 105
## Analysis of Variance Table
##
## Response: F1$Anth
## Df Sum Sq Mean Sq F value Pr(>F)
## F1$Column 3 0.0122 0.0040655 2.0687 0.1024
## Residuals 1788 3.5138 0.0019652
##
## Call:
## lm(formula = F1$Anth ~ F1$Column)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.09824 -0.02824 -0.00049 0.02676 0.38402
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 0.094490 0.001822 51.861 <2e-16 ***
## F1$Column2 0.004753 0.002618 1.815 0.0696 .
## F1$Column3 0.004486 0.002639 1.700 0.0894 .
## F1$Column4 -0.003337 0.004694 -0.711 0.4772
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.04433 on 1788 degrees of freedom
## Multiple R-squared: 0.003459, Adjusted R-squared: 0.001787
## F-statistic: 2.069 on 3 and 1788 DF, p-value: 0.1024
## Analysis of Variance Table
##
## Response: F1$Chl
## Df Sum Sq Mean Sq F value Pr(>F)
## F1$Column 3 1586 528.66 2.3101 0.07453 .
## Residuals 1788 409178 228.85
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Call:
## lm(formula = F1$Chl ~ F1$Column)
##
## Residuals:
## Min 1Q Median 3Q Max
## -35.263 -10.815 1.102 11.773 26.109
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 33.7951 0.6217 54.355 <2e-16 ***
## F1$Column2 1.5975 0.8934 1.788 0.0739 .
## F1$Column3 2.2490 0.9006 2.497 0.0126 *
## F1$Column4 0.4924 1.6019 0.307 0.7586
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 15.13 on 1788 degrees of freedom
## Multiple R-squared: 0.003861, Adjusted R-squared: 0.00219
## F-statistic: 2.31 on 3 and 1788 DF, p-value: 0.07453
## Analysis of Variance Table
##
## Response: F1$Flav
## Df Sum Sq Mean Sq F value Pr(>F)
## F1$Column 3 2.305 0.76823 12.737 3.087e-08 ***
## Residuals 1788 107.843 0.06031
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Call:
## lm(formula = F1$Flav ~ F1$Column)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.90465 -0.15390 0.00885 0.16468 0.85068
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 2.01032 0.01009 199.166 < 2e-16 ***
## F1$Column2 -0.06592 0.01450 -4.545 5.87e-06 ***
## F1$Column3 -0.04967 0.01462 -3.397 0.000695 ***
## F1$Column4 -0.13528 0.02601 -5.202 2.20e-07 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.2456 on 1788 degrees of freedom
## Multiple R-squared: 0.02092, Adjusted R-squared: 0.01928
## F-statistic: 12.74 on 3 and 1788 DF, p-value: 3.087e-08
## Analysis of Variance Table
##
## Response: F1$NBI
## Df Sum Sq Mean Sq F value Pr(>F)
## F1$Column 3 821 273.626 3.8427 0.009333 **
## Residuals 1788 127318 71.207
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Call:
## lm(formula = F1$NBI ~ F1$Column)
##
## Residuals:
## Min 1Q Median 3Q Max
## -18.560 -6.118 0.291 6.107 31.944
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 17.2255 0.3468 49.667 < 2e-16 ***
## F1$Column2 1.3478 0.4983 2.705 0.00690 **
## F1$Column3 1.5184 0.5024 3.022 0.00254 **
## F1$Column4 1.4342 0.8936 1.605 0.10866
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 8.438 on 1788 degrees of freedom
## Multiple R-squared: 0.006406, Adjusted R-squared: 0.004739
## F-statistic: 3.843 on 3 and 1788 DF, p-value: 0.009333
## Analysis of Variance Table
##
## Response: F1$Anth
## Df Sum Sq Mean Sq F value Pr(>F)
## F1$Height 2 0.05255 0.0262759 14.9537 3.788e-07 ***
## F1$Column 3 0.01228 0.0040942 2.3300 0.0727244 .
## F1$Row 49 0.23127 0.0047199 2.6861 6.175e-09 ***
## F1$Height:F1$Column 6 0.02055 0.0034247 1.9490 0.0699958 .
## F1$Height:F1$Row 98 0.20024 0.0020433 1.1628 0.1394606
## F1$Column:F1$Row 106 0.28473 0.0026861 1.5287 0.0006952 ***
## F1$Height:F1$Column:F1$Row 212 0.41375 0.0019517 1.1107 0.1490621
## Residuals 1315 2.31066 0.0017572
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Call:
## lm(formula = F1$Anth ~ F1$Height * F1$Column * F1$Row)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.136667 -0.022500 0.000333 0.021750 0.260333
##
## Coefficients: (123 not defined because of singularities)
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 0.1163750 0.0148204 7.852 8.42e-15 ***
## F1$HeightL -0.0077083 0.0203687 -0.378 0.705165
## F1$HeightM -0.0095972 0.0203687 -0.471 0.637594
## F1$Column2 -0.0223750 0.0283789 -0.788 0.430583
## F1$Column3 -0.0113750 0.0283789 -0.401 0.688614
## F1$Column4 0.0570000 0.0283789 2.009 0.044791 *
## F1$Row10 -0.0023750 0.0256697 -0.093 0.926298
## F1$Row11 0.0007500 0.0209592 0.036 0.971460
## F1$Row12 -0.0317083 0.0283789 -1.117 0.264062
## F1$Row13 0.0881250 0.0331395 2.659 0.007927 **
## F1$Row14 -0.0027083 0.0283789 -0.095 0.923984
## F1$Row15 -0.0080417 0.0283789 -0.283 0.776940
## F1$Row16 0.0119583 0.0283789 0.421 0.673546
## F1$Row17 0.1176667 0.0342263 3.438 0.000605 ***
## F1$Row18 0.0229583 0.0283789 0.809 0.418666
## F1$Row19 -0.0343750 0.0283789 -1.211 0.226004
## F1$Row2 -0.0120417 0.0283789 -0.424 0.671404
## F1$Row20 0.0089583 0.0283789 0.316 0.752304
## F1$Row21 -0.0261250 0.0256697 -1.018 0.308990
## F1$Row22 -0.0567083 0.0283789 -1.998 0.045895 *
## F1$Row23 -0.0607083 0.0283789 -2.139 0.032603 *
## F1$Row24 -0.0163750 0.0283789 -0.577 0.564030
## F1$Row25 -0.0130417 0.0283789 -0.460 0.645912
## F1$Row26 -0.0128750 0.0331395 -0.389 0.697702
## F1$Row27 -0.0210417 0.0283789 -0.741 0.458551
## F1$Row28 -0.0980417 0.0283789 -3.455 0.000568 ***
## F1$Row29 -0.0143750 0.0283789 -0.507 0.612564
## F1$Row3 0.0036250 0.0283789 0.128 0.898378
## F1$Row30 0.0179583 0.0283789 0.633 0.526971
## F1$Row31 -0.0015000 0.0209592 -0.072 0.942957
## F1$Row32 -0.0343750 0.0283789 -1.211 0.226004
## F1$Row33 -0.0717083 0.0283789 -2.527 0.011627 *
## F1$Row34 -0.0100417 0.0283789 -0.354 0.723514
## F1$Row35 0.0196250 0.0256697 0.765 0.444695
## F1$Row36 -0.0623750 0.0283789 -2.198 0.028128 *
## F1$Row37 -0.0057083 0.0283789 -0.201 0.840615
## F1$Row38 -0.0633750 0.0331395 -1.912 0.056045 .
## F1$Row39 -0.0143750 0.0283789 -0.507 0.612564
## F1$Row4 -0.0288750 0.0256697 -1.125 0.260851
## F1$Row40 -0.0490417 0.0283789 -1.728 0.084205 .
## F1$Row41 -0.0528750 0.0256697 -2.060 0.039612 *
## F1$Row42 -0.0590417 0.0283789 -2.080 0.037675 *
## F1$Row43 0.0216250 0.0283789 0.762 0.446191
## F1$Row44 -0.0293750 0.0331395 -0.886 0.375561
## F1$Row45 -0.0143750 0.0283789 -0.507 0.612564
## F1$Row46 0.0166250 0.0331395 0.502 0.615985
## F1$Row47 -0.0143750 0.0283789 -0.507 0.612564
## F1$Row48 -0.0427083 0.0283789 -1.505 0.132582
## F1$Row49 -0.0353750 0.0283789 -1.247 0.212794
## F1$Row5 0.0049583 0.0283789 0.175 0.861327
## F1$Row50 -0.0353750 0.0209592 -1.688 0.091687 .
## F1$Row6 -0.0347083 0.0283789 -1.223 0.221537
## F1$Row7 0.0519583 0.0283789 1.831 0.067345 .
## F1$Row8 0.0012917 0.0283789 0.046 0.963704
## F1$Row9 -0.0377083 0.0283789 -1.329 0.184163
## F1$HeightL:F1$Column2 0.0302083 0.0379459 0.796 0.426124
## F1$HeightM:F1$Column2 -0.0004028 0.0379459 -0.011 0.991533
## F1$HeightL:F1$Column3 0.0094583 0.0379459 0.249 0.803200
## F1$HeightM:F1$Column3 0.0190972 0.0379459 0.503 0.614855
## F1$HeightL:F1$Column4 0.0096000 0.0395828 0.243 0.808408
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## F1$HeightL:F1$Row12 0.0487917 0.0379459 1.286 0.198732
## F1$HeightM:F1$Row12 0.0656806 0.0379459 1.731 0.083704 .
## F1$HeightL:F1$Row13 -0.0435417 0.0416263 -1.046 0.295748
## F1$HeightM:F1$Row13 -0.1031528 0.0416263 -2.478 0.013334 *
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## F1$HeightM:F1$Row14 0.0091806 0.0379459 0.242 0.808866
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## F1$HeightM:F1$Row15 0.0067639 0.0379459 0.178 0.858554
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## F1$HeightL:F1$Row18 -0.0706250 0.0379459 -1.861 0.062939 .
## F1$HeightM:F1$Row18 -0.0647361 0.0379459 -1.706 0.088242 .
## F1$HeightL:F1$Row19 0.0264583 0.0379459 0.697 0.485761
## F1$HeightM:F1$Row19 0.0165972 0.0379459 0.437 0.661899
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## F1$HeightM:F1$Row2 0.0452639 0.0379459 1.193 0.233142
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## F1$HeightM:F1$Row20 -0.0024861 0.0379459 -0.066 0.947772
## F1$HeightL:F1$Row21 -0.0180417 0.0338679 -0.533 0.594326
## F1$HeightM:F1$Row21 0.0105472 0.0347218 0.304 0.761356
## F1$HeightL:F1$Row22 0.0207917 0.0379459 0.548 0.583834
## F1$HeightM:F1$Row22 0.0786806 0.0379459 2.073 0.038321 *
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## F1$HeightM:F1$Row23 0.0689306 0.0398287 1.731 0.083744 .
## F1$HeightL:F1$Row24 0.0197083 0.0379459 0.519 0.603584
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## F1$HeightM:F1$Row25 -0.0294861 0.0379459 -0.777 0.437265
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## F1$HeightL:F1$Row28 0.0726250 0.0379459 1.914 0.055849 .
## F1$HeightM:F1$Row28 0.0362639 0.0379459 0.956 0.339413
## F1$HeightL:F1$Row29 -0.0645417 0.0379459 -1.701 0.089201 .
## F1$HeightM:F1$Row29 -0.0127361 0.0398287 -0.320 0.749192
## F1$HeightL:F1$Row3 0.0219583 0.0379459 0.579 0.562908
## F1$HeightM:F1$Row3 0.0158472 0.0379459 0.418 0.676288
## F1$HeightL:F1$Row30 -0.0341250 0.0379459 -0.899 0.368654
## F1$HeightM:F1$Row30 -0.0374028 0.0398287 -0.939 0.347856
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## F1$HeightM:F1$Row31 -0.0186111 0.0304531 -0.611 0.541212
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## F1$HeightM:F1$Row32 0.0078472 0.0379459 0.207 0.836198
## F1$HeightL:F1$Row33 0.0462917 0.0379459 1.220 0.222707
## F1$HeightM:F1$Row33 0.0561806 0.0379459 1.481 0.138968
## F1$HeightL:F1$Row34 0.0063750 0.0379459 0.168 0.866607
## F1$HeightM:F1$Row34 0.0147639 0.0379459 0.389 0.697282
## F1$HeightL:F1$Row35 -0.0612917 0.0359647 -1.704 0.088577 .
## F1$HeightM:F1$Row35 -0.0451528 0.0359647 -1.255 0.209530
## F1$HeightL:F1$Row36 0.0633750 0.0398287 1.591 0.111807
## F1$HeightM:F1$Row36 0.0263472 0.0379459 0.694 0.487594
## F1$HeightL:F1$Row37 -0.0166250 0.0398287 -0.417 0.676445
## F1$HeightM:F1$Row37 0.0109306 0.0379459 0.288 0.773349
## F1$HeightL:F1$Row38 0.0177083 0.0416263 0.425 0.670606
## F1$HeightM:F1$Row38 0.0823472 0.0416263 1.978 0.048109 *
## F1$HeightL:F1$Row39 -0.0065417 0.0379459 -0.172 0.863154
## F1$HeightM:F1$Row39 0.0010972 0.0379459 0.029 0.976936
## F1$HeightL:F1$Row4 0.0037083 0.0359647 0.103 0.917891
## F1$HeightM:F1$Row4 0.0260972 0.0379459 0.688 0.491733
## F1$HeightL:F1$Row40 0.0436250 0.0379459 1.150 0.250492
## F1$HeightM:F1$Row40 0.0010139 0.0379459 0.027 0.978688
## F1$HeightL:F1$Row41 0.0449226 0.0332445 1.351 0.176838
## F1$HeightM:F1$Row41 0.0352639 0.0338679 1.041 0.297965
## F1$HeightL:F1$Row42 0.0640417 0.0398287 1.608 0.108091
## F1$HeightM:F1$Row42 0.0338639 0.0367700 0.921 0.357238
## F1$HeightL:F1$Row43 -0.0370417 0.0379459 -0.976 0.329160
## F1$HeightM:F1$Row43 -0.0484028 0.0379459 -1.276 0.202332
## F1$HeightL:F1$Row44 -0.0137917 0.0416263 -0.331 0.740455
## F1$HeightM:F1$Row44 -0.0241528 0.0416263 -0.580 0.561860
## F1$HeightL:F1$Row45 0.0509583 0.0379459 1.343 0.179530
## F1$HeightM:F1$Row45 0.0038472 0.0379459 0.101 0.919259
## F1$HeightL:F1$Row46 -0.0576250 0.0433495 -1.329 0.183976
## F1$HeightM:F1$Row46 -0.0698028 0.0405573 -1.721 0.085470 .
## F1$HeightL:F1$Row47 -0.0052917 0.0379459 -0.139 0.889114
## F1$HeightM:F1$Row47 -0.0239028 0.0379459 -0.630 0.528858
## F1$HeightL:F1$Row48 0.0020417 0.0379459 0.054 0.957099
## F1$HeightM:F1$Row48 0.0336806 0.0379459 0.888 0.374922
## F1$HeightL:F1$Row49 0.0334583 0.0379459 0.882 0.378080
## F1$HeightM:F1$Row49 0.0043472 0.0379459 0.115 0.908809
## F1$HeightL:F1$Row5 -0.0542917 0.0398287 -1.363 0.173075
## F1$HeightM:F1$Row5 0.0275139 0.0379459 0.725 0.468531
## F1$HeightL:F1$Row50 0.0071083 0.0284648 0.250 0.802840
## F1$HeightM:F1$Row50 -0.0251171 0.0297582 -0.844 0.398802
## F1$HeightL:F1$Row6 0.0292917 0.0379459 0.772 0.440293
## F1$HeightM:F1$Row6 0.0551806 0.0379459 1.454 0.146132
## F1$HeightL:F1$Row7 -0.0313750 0.0379459 -0.827 0.408481
## F1$HeightM:F1$Row7 -0.0307361 0.0379459 -0.810 0.418088
## F1$HeightL:F1$Row8 0.0222917 0.0379459 0.587 0.556996
## F1$HeightM:F1$Row8 -0.0050694 0.0379459 -0.134 0.893742
## F1$HeightL:F1$Row9 0.0340417 0.0379459 0.897 0.369824
## F1$HeightM:F1$Row9 0.0084306 0.0379459 0.222 0.824214
## F1$Column2:F1$Row10 0.0410417 0.0427829 0.959 0.337583
## F1$Column3:F1$Row10 0.0073750 0.0427829 0.172 0.863164
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## F1$Column3:F1$Row11 0.0335833 0.0401339 0.837 0.402867
## F1$Column4:F1$Row11 NA NA NA NA
## F1$Column2:F1$Row12 0.0787083 0.0444612 1.770 0.076914 .
## F1$Column3:F1$Row12 0.0220417 0.0444612 0.496 0.620154
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## F1$Column2:F1$Row13 -0.0897917 0.0476410 -1.885 0.059683 .
## F1$Column3:F1$Row13 -0.1014583 0.0476410 -2.130 0.033386 *
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## F1$Column2:F1$Row14 0.0077083 0.0444612 0.173 0.862386
## F1$Column3:F1$Row14 -0.0102917 0.0444612 -0.231 0.816982
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## F1$Column3:F1$Row15 -0.0156250 0.0444612 -0.351 0.725322
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## F1$Column3:F1$Row16 0.0087083 0.0444612 0.196 0.844747
## F1$Column4:F1$Row16 NA NA NA NA
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## F1$Column3:F1$Row17 NA NA NA NA
## F1$Column4:F1$Row17 NA NA NA NA
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## F1$Column3:F1$Row18 -0.0352917 0.0444612 -0.794 0.427477
## F1$Column4:F1$Row18 NA NA NA NA
## F1$Column2:F1$Row19 0.0813750 0.0444612 1.830 0.067439 .
## F1$Column3:F1$Row19 -0.0149583 0.0444612 -0.336 0.736596
## F1$Column4:F1$Row19 NA NA NA NA
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## F1$Column3:F1$Row2 0.0957083 0.0444612 2.153 0.031530 *
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## F1$Column3:F1$Row20 -0.0372917 0.0444612 -0.839 0.401765
## F1$Column4:F1$Row20 NA NA NA NA
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## F1$Column3:F1$Row21 0.0221250 0.0427829 0.517 0.605141
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## F1$Column3:F1$Row22 0.0653750 0.0444612 1.470 0.141698
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## F1$Column3:F1$Row23 0.1367083 0.0444612 3.075 0.002150 **
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## F1$Column3:F1$Row24 0.0387083 0.0444612 0.871 0.384127
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## F1$Column3:F1$Row26 0.0015417 0.0476410 0.032 0.974190
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## F1$Column3:F1$Row27 0.0155417 0.0476410 0.326 0.744306
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## F1$Column2:F1$Row28 0.1153750 0.0444612 2.595 0.009566 **
## F1$Column3:F1$Row28 0.1113750 0.0444612 2.505 0.012366 *
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## F1$Column2:F1$Row29 0.0181250 0.0427829 0.424 0.671890
## F1$Column3:F1$Row29 0.0150417 0.0444612 0.338 0.735184
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## F1$Column2:F1$Row3 0.0610417 0.0444612 1.373 0.170012
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## F1$Column3:F1$Row30 -0.0416250 0.0444612 -0.936 0.349338
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## F1$Column3:F1$Row31 -0.0555000 0.0401339 -1.383 0.166939
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## F1$Column2:F1$Row32 0.0653750 0.0444612 1.470 0.141698
## F1$Column3:F1$Row32 0.1077083 0.0444612 2.423 0.015548 *
## F1$Column4:F1$Row32 -0.0106667 0.0444612 -0.240 0.810438
## F1$Column2:F1$Row33 0.1070417 0.0444612 2.408 0.016198 *
## F1$Column3:F1$Row33 0.0503750 0.0444612 1.133 0.257417
## F1$Column4:F1$Row33 NA NA NA NA
## F1$Column2:F1$Row34 0.0057083 0.0444612 0.128 0.897861
## F1$Column3:F1$Row34 0.0257083 0.0444612 0.578 0.563215
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## F1$Column3:F1$Row37 0.0210417 0.0444612 0.473 0.636107
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## F1$Column4:F1$Row46 -0.0843333 0.0476410 -1.770 0.076928 .
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## F1$Column3:F1$Row49 0.0757083 0.0444612 1.703 0.088843 .
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## F1$HeightL:F1$Column3:F1$Row10 0.0237917 0.0578228 0.411 0.680804
## F1$HeightM:F1$Column3:F1$Row10 0.0119861 0.0590755 0.203 0.839249
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## F1$HeightM:F1$Column4:F1$Row10 NA NA NA NA
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## F1$HeightM:F1$Column2:F1$Row11 0.0270000 0.0536636 0.503 0.614954
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## F1$HeightM:F1$Column2:F1$Row12 -0.1149306 0.0590755 -1.945 0.051929 .
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## F1$HeightM:F1$Column3:F1$Row12 -0.1142639 0.0590755 -1.934 0.053303 .
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## F1$HeightM:F1$Column4:F1$Row12 NA NA NA NA
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## F1$HeightM:F1$Column2:F1$Row13 0.1105694 0.0615042 1.798 0.072445 .
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## F1$HeightM:F1$Column2:F1$Row17 0.1660833 0.0640315 2.594 0.009598 **
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## F1$HeightL:F1$Column3:F1$Row2 -0.1090417 0.0590755 -1.846 0.065145 .
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## F1$HeightM:F1$Column3:F1$Row20 0.0628194 0.0590755 1.063 0.287807
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## F1$HeightL:F1$Column3:F1$Row21 0.0390417 0.0565425 0.690 0.490012
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## F1$HeightM:F1$Column4:F1$Row21 NA NA NA NA
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## F1$HeightM:F1$Column2:F1$Row22 -0.0757639 0.0590755 -1.282 0.199896
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## F1$HeightM:F1$Column3:F1$Row22 -0.1093472 0.0590755 -1.851 0.064397 .
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## F1$HeightM:F1$Column4:F1$Row22 NA NA NA NA
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## F1$HeightM:F1$Column2:F1$Row23 -0.0174306 0.0603021 -0.289 0.772586
## F1$HeightL:F1$Column3:F1$Row23 -0.1037917 0.0590755 -1.757 0.079162 .
## F1$HeightM:F1$Column3:F1$Row23 -0.1676806 0.0603021 -2.781 0.005502 **
## F1$HeightL:F1$Column4:F1$Row23 -0.0654333 0.0601400 -1.088 0.276787
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## F1$HeightM:F1$Column2:F1$Row24 -0.0254972 0.0607858 -0.419 0.674948
## F1$HeightL:F1$Column3:F1$Row24 -0.0610417 0.0590755 -1.033 0.301662
## F1$HeightM:F1$Column3:F1$Row24 -0.0603306 0.0583271 -1.034 0.301164
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## F1$HeightM:F1$Column4:F1$Row24 NA NA NA NA
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## F1$HeightM:F1$Column2:F1$Row25 0.0502361 0.0590755 0.850 0.395273
## F1$HeightL:F1$Column3:F1$Row25 0.0639583 0.0590755 1.083 0.279160
## F1$HeightM:F1$Column3:F1$Row25 0.0545694 0.0590755 0.924 0.355799
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## F1$HeightM:F1$Column4:F1$Row25 NA NA NA NA
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## F1$HeightM:F1$Column2:F1$Row26 0.0036528 0.0638407 0.057 0.954381
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## F1$HeightM:F1$Column3:F1$Row26 -0.0002639 0.0615042 -0.004 0.996577
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## F1$HeightM:F1$Column4:F1$Row26 NA NA NA NA
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## F1$HeightM:F1$Column2:F1$Row27 0.0329028 0.0590755 0.557 0.577648
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## F1$HeightM:F1$Column3:F1$Row27 -0.0310139 0.0615042 -0.504 0.614166
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## F1$HeightM:F1$Column4:F1$Row27 NA NA NA NA
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## F1$HeightM:F1$Column2:F1$Row28 -0.0665972 0.0590755 -1.127 0.259811
## F1$HeightL:F1$Column3:F1$Row28 -0.1129583 0.0590755 -1.912 0.056080 .
## F1$HeightM:F1$Column3:F1$Row28 -0.0600972 0.0590755 -1.017 0.309200
## F1$HeightL:F1$Column4:F1$Row28 NA NA NA NA
## F1$HeightM:F1$Column4:F1$Row28 NA NA NA NA
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## F1$HeightM:F1$Column2:F1$Row29 0.0212361 0.0590755 0.359 0.719298
## F1$HeightL:F1$Column3:F1$Row29 0.0203750 0.0590755 0.345 0.730226
## F1$HeightM:F1$Column3:F1$Row29 0.0045694 0.0615042 0.074 0.940787
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## F1$HeightM:F1$Column4:F1$Row29 NA NA NA NA
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## F1$HeightM:F1$Column2:F1$Row3 -0.0137639 0.0590755 -0.233 0.815807
## F1$HeightL:F1$Column3:F1$Row3 0.0103750 0.0590755 0.176 0.860617
## F1$HeightM:F1$Column3:F1$Row3 -0.0195139 0.0590755 -0.330 0.741210
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## F1$HeightM:F1$Column4:F1$Row3 NA NA NA NA
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## F1$HeightM:F1$Column2:F1$Row30 0.0310694 0.0615042 0.505 0.613531
## F1$HeightL:F1$Column3:F1$Row30 0.0572917 0.0590755 0.970 0.332322
## F1$HeightM:F1$Column3:F1$Row30 0.0393194 0.0603021 0.652 0.514488
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## F1$HeightM:F1$Column4:F1$Row30 NA NA NA NA
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## F1$HeightM:F1$Column2:F1$Row31 0.0376111 0.0545656 0.689 0.490767
## F1$HeightL:F1$Column3:F1$Row31 0.0838452 0.0541809 1.548 0.121982
## F1$HeightM:F1$Column3:F1$Row31 0.0141111 0.0545656 0.259 0.795978
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## F1$HeightM:F1$Column4:F1$Row31 NA NA NA NA
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## F1$HeightM:F1$Column2:F1$Row32 -0.0195972 0.0590755 -0.332 0.740144
## F1$HeightL:F1$Column3:F1$Row32 -0.0820417 0.0590755 -1.389 0.165141
## F1$HeightM:F1$Column3:F1$Row32 -0.0984306 0.0590755 -1.666 0.095915 .
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## F1$HeightM:F1$Column4:F1$Row32 -0.0435476 0.0595457 -0.731 0.464707
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## F1$HeightM:F1$Column2:F1$Row33 -0.0885139 0.0590755 -1.498 0.134290
## F1$HeightL:F1$Column3:F1$Row33 0.0045417 0.0590755 0.077 0.938731
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## F1$HeightM:F1$Column4:F1$Row33 NA NA NA NA
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## F1$HeightM:F1$Column3:F1$Row34 -0.0431806 0.0590755 -0.731 0.464947
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## F1$HeightM:F1$Column4:F1$Row36 NA NA NA NA
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## F1$HeightM:F1$Column2:F1$Row37 -0.0490139 0.0590755 -0.830 0.406869
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## F1$HeightM:F1$Column4:F1$Row38 NA NA NA NA
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## F1$HeightM:F1$Column3:F1$Row4 -0.1005972 0.0590755 -1.703 0.088831 .
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## F1$HeightM:F1$Column4:F1$Row4 NA NA NA NA
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## F1$HeightM:F1$Column4:F1$Row48 NA NA NA NA
## F1$HeightL:F1$Column2:F1$Row49 -0.0830417 0.0590755 -1.406 0.160053
## F1$HeightM:F1$Column2:F1$Row49 -0.0199306 0.0590755 -0.337 0.735888
## F1$HeightL:F1$Column3:F1$Row49 -0.0735417 0.0590755 -1.245 0.213399
## F1$HeightM:F1$Column3:F1$Row49 -0.0699306 0.0590755 -1.184 0.236726
## F1$HeightL:F1$Column4:F1$Row49 -0.0811000 0.0601400 -1.349 0.177723
## F1$HeightM:F1$Column4:F1$Row49 0.0067857 0.0595457 0.114 0.909288
## F1$HeightL:F1$Column2:F1$Row5 0.0352083 0.0603021 0.584 0.559411
## F1$HeightM:F1$Column2:F1$Row5 -0.0220972 0.0590755 -0.374 0.708427
## F1$HeightL:F1$Column3:F1$Row5 0.0277917 0.0603021 0.461 0.644965
## F1$HeightM:F1$Column3:F1$Row5 -0.0732639 0.0590755 -1.240 0.215132
## F1$HeightL:F1$Column4:F1$Row5 NA NA NA NA
## F1$HeightM:F1$Column4:F1$Row5 NA NA NA NA
## F1$HeightL:F1$Column2:F1$Row50 0.0069750 0.0534814 0.130 0.896255
## F1$HeightM:F1$Column2:F1$Row50 0.0394504 0.0541809 0.728 0.466667
## F1$HeightL:F1$Column3:F1$Row50 0.0133917 0.0534814 0.250 0.802318
## F1$HeightM:F1$Column3:F1$Row50 0.0036171 0.0541809 0.067 0.946784
## F1$HeightL:F1$Column4:F1$Row50 NA NA NA NA
## F1$HeightM:F1$Column4:F1$Row50 NA NA NA NA
## F1$HeightL:F1$Column2:F1$Row6 0.0130417 0.0590755 0.221 0.825311
## F1$HeightM:F1$Column2:F1$Row6 -0.0045972 0.0590755 -0.078 0.937983
## F1$HeightL:F1$Column3:F1$Row6 -0.0543750 0.0590755 -0.920 0.357515
## F1$HeightM:F1$Column3:F1$Row6 -0.1042639 0.0590755 -1.765 0.077808 .
## F1$HeightL:F1$Column4:F1$Row6 NA NA NA NA
## F1$HeightM:F1$Column4:F1$Row6 NA NA NA NA
## F1$HeightL:F1$Column2:F1$Row7 -0.0152083 0.0590755 -0.257 0.796880
## F1$HeightM:F1$Column2:F1$Row7 0.0061528 0.0590755 0.104 0.917065
## F1$HeightL:F1$Column3:F1$Row7 0.0267083 0.0590755 0.452 0.651268
## F1$HeightM:F1$Column3:F1$Row7 -0.0416806 0.0590755 -0.706 0.480594
## F1$HeightL:F1$Column4:F1$Row7 NA NA NA NA
## F1$HeightM:F1$Column4:F1$Row7 NA NA NA NA
## F1$HeightL:F1$Column2:F1$Row8 -0.1012083 0.0590755 -1.713 0.086911 .
## F1$HeightM:F1$Column2:F1$Row8 -0.0555972 0.0590755 -0.941 0.346815
## F1$HeightL:F1$Column3:F1$Row8 -0.0634583 0.0590755 -1.074 0.282934
## F1$HeightM:F1$Column3:F1$Row8 -0.0478472 0.0590755 -0.810 0.418125
## F1$HeightL:F1$Column4:F1$Row8 NA NA NA NA
## F1$HeightM:F1$Column4:F1$Row8 NA NA NA NA
## F1$HeightL:F1$Column2:F1$Row9 -0.1150417 0.0590755 -1.947 0.051703 .
## F1$HeightM:F1$Column2:F1$Row9 -0.0501806 0.0590755 -0.849 0.395796
## F1$HeightL:F1$Column3:F1$Row9 -0.0382917 0.0578228 -0.662 0.507944
## F1$HeightM:F1$Column3:F1$Row9 -0.0401806 0.0578228 -0.695 0.487247
## F1$HeightL:F1$Column4:F1$Row9 NA NA NA NA
## F1$HeightM:F1$Column4:F1$Row9 NA NA NA NA
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.04192 on 1315 degrees of freedom
## Multiple R-squared: 0.3447, Adjusted R-squared: 0.1075
## F-statistic: 1.453 on 476 and 1315 DF, p-value: 1.827e-07
## Analysis of Variance Table
##
## Response: F1$Anth
## Df Sum Sq Mean Sq F value Pr(>F)
## F1$Height 2 0.05255 0.0262759 14.2135 7.586e-07 ***
## F1$Row 49 0.23404 0.0047763 2.5837 2.178e-08 ***
## F1$Height:F1$Row 98 0.20394 0.0020810 1.1257 0.1942
## Residuals 1642 3.03551 0.0018487
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Call:
## lm(formula = F1$Anth ~ F1$Height * F1$Row)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.11042 -0.02667 -0.00054 0.02583 0.32750
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 0.1091429 0.0114912 9.498 <2e-16 ***
## F1$HeightL 0.0009160 0.0155175 0.059 0.9529
## F1$HeightM -0.0059076 0.0155175 -0.381 0.7035
## F1$Row10 0.0092571 0.0178021 0.520 0.6031
## F1$Row11 0.0067143 0.0162510 0.413 0.6795
## F1$Row12 -0.0021429 0.0183699 -0.117 0.9072
## F1$Row13 0.0109821 0.0190560 0.576 0.5645
## F1$Row14 -0.0075873 0.0183699 -0.413 0.6796
## F1$Row15 -0.0083651 0.0183699 -0.455 0.6489
## F1$Row16 -0.0024762 0.0183699 -0.135 0.8928
## F1$Row17 0.0463571 0.0209799 2.210 0.0273 *
## F1$Row18 0.0005238 0.0183699 0.029 0.9773
## F1$Row19 -0.0162540 0.0183699 -0.885 0.3764
## F1$Row2 0.0298571 0.0183699 1.625 0.1043
## F1$Row20 -0.0160595 0.0169146 -0.949 0.3425
## F1$Row21 -0.0161429 0.0178021 -0.907 0.3646
## F1$Row22 -0.0229206 0.0183699 -1.248 0.2123
## F1$Row23 -0.0044762 0.0169146 -0.265 0.7913
## F1$Row24 0.0022321 0.0190560 0.117 0.9068
## F1$Row25 -0.0318095 0.0183699 -1.732 0.0835 .
## F1$Row26 -0.0124286 0.0199033 -0.624 0.5324
## F1$Row27 -0.0202679 0.0190560 -1.064 0.2877
## F1$Row28 -0.0264762 0.0183699 -1.441 0.1497
## F1$Row29 -0.0077429 0.0178021 -0.435 0.6637
## F1$Row3 0.0083016 0.0183699 0.452 0.6514
## F1$Row30 -0.0065873 0.0183699 -0.359 0.7199
## F1$Row31 -0.0139286 0.0162510 -0.857 0.3915
## F1$Row32 0.0192738 0.0169146 1.139 0.2547
## F1$Row33 -0.0232540 0.0183699 -1.266 0.2057
## F1$Row34 -0.0053095 0.0169146 -0.314 0.7536
## F1$Row35 0.0036264 0.0165606 0.219 0.8267
## F1$Row36 -0.0355873 0.0183699 -1.937 0.0529 .
## F1$Row37 0.0103016 0.0183699 0.561 0.5750
## F1$Row38 -0.0342540 0.0183699 -1.865 0.0624 .
## F1$Row39 0.0138571 0.0183699 0.754 0.4508
## F1$Row4 0.0117571 0.0178021 0.660 0.5091
## F1$Row40 -0.0310317 0.0183699 -1.689 0.0914 .
## F1$Row41 -0.0213095 0.0169146 -1.260 0.2079
## F1$Row42 -0.0334762 0.0183699 -1.822 0.0686 .
## F1$Row43 0.0271071 0.0190560 1.423 0.1551
## F1$Row44 -0.0195179 0.0190560 -1.024 0.3059
## F1$Row45 -0.0196429 0.0169146 -1.161 0.2457
## F1$Row46 0.0028571 0.0173236 0.165 0.8690
## F1$Row47 -0.0119890 0.0165606 -0.724 0.4692
## F1$Row48 -0.0084762 0.0183699 -0.461 0.6446
## F1$Row49 0.0127738 0.0169146 0.755 0.4502
## F1$Row5 0.0120794 0.0183699 0.658 0.5109
## F1$Row50 -0.0132017 0.0155175 -0.851 0.3950
## F1$Row6 -0.0069206 0.0183699 -0.377 0.7064
## F1$Row7 0.0276349 0.0183699 1.504 0.1327
## F1$Row8 0.0295238 0.0183699 1.607 0.1082
## F1$Row9 0.0076571 0.0178021 0.430 0.6672
## F1$HeightL:F1$Row10 0.0091840 0.0240773 0.381 0.7029
## F1$HeightM:F1$Row10 -0.0260924 0.0247088 -1.056 0.2911
## F1$HeightL:F1$Row11 -0.0031620 0.0218070 -0.145 0.8847
## F1$HeightM:F1$Row11 -0.0038319 0.0219450 -0.175 0.8614
## F1$HeightL:F1$Row12 -0.0151887 0.0247843 -0.613 0.5401
## F1$HeightM:F1$Row12 -0.0081758 0.0245001 -0.334 0.7386
## F1$HeightL:F1$Row13 -0.0061319 0.0252970 -0.242 0.8085
## F1$HeightM:F1$Row13 -0.0258174 0.0256270 -1.007 0.3139
## F1$HeightL:F1$Row14 -0.0248049 0.0245001 -1.012 0.3115
## F1$HeightM:F1$Row14 -0.0053147 0.0245001 -0.217 0.8283
## F1$HeightL:F1$Row15 -0.0303604 0.0245001 -1.239 0.2155
## F1$HeightM:F1$Row15 -0.0108702 0.0245001 -0.444 0.6573
## F1$HeightL:F1$Row16 -0.0289826 0.0251210 -1.154 0.2488
## F1$HeightM:F1$Row16 0.0047864 0.0247843 0.193 0.8469
## F1$HeightL:F1$Row17 -0.0325410 0.0279282 -1.165 0.2441
## F1$HeightM:F1$Row17 -0.0702174 0.0279282 -2.514 0.0120 *
## F1$HeightL:F1$Row18 -0.0369826 0.0251210 -1.472 0.1412
## F1$HeightM:F1$Row18 -0.0169409 0.0247843 -0.684 0.4944
## F1$HeightL:F1$Row19 -0.0209715 0.0245001 -0.856 0.3921
## F1$HeightM:F1$Row19 0.0026853 0.0245001 0.110 0.9127
## F1$HeightL:F1$Row2 -0.0346660 0.0245001 -1.415 0.1573
## F1$HeightM:F1$Row2 -0.0205091 0.0245001 -0.837 0.4027
## F1$HeightL:F1$Row20 0.0111882 0.0225918 0.495 0.6205
## F1$HeightM:F1$Row20 0.0417617 0.0225918 1.849 0.0647 .
## F1$HeightL:F1$Row21 -0.0005588 0.0236158 -0.024 0.9811
## F1$HeightM:F1$Row21 0.0070614 0.0238299 0.296 0.7670
## F1$HeightL:F1$Row22 -0.0159715 0.0245001 -0.652 0.5146
## F1$HeightM:F1$Row22 0.0195187 0.0245001 0.797 0.4258
## F1$HeightL:F1$Row23 -0.0212701 0.0225918 -0.941 0.3466
## F1$HeightM:F1$Row23 -0.0022924 0.0227616 -0.101 0.9198
## F1$HeightL:F1$Row24 -0.0063743 0.0250186 -0.255 0.7989
## F1$HeightM:F1$Row24 -0.0289290 0.0247806 -1.167 0.2432
## F1$HeightL:F1$Row25 0.0079174 0.0245001 0.323 0.7466
## F1$HeightM:F1$Row25 0.0079909 0.0245001 0.326 0.7443
## F1$HeightL:F1$Row26 -0.0202136 0.0256699 -0.787 0.4311
## F1$HeightM:F1$Row26 0.0030266 0.0256699 0.118 0.9062
## F1$HeightL:F1$Row27 -0.0047076 0.0250186 -0.188 0.8508
## F1$HeightM:F1$Row27 -0.0006341 0.0250186 -0.025 0.9798
## F1$HeightL:F1$Row28 0.0107507 0.0245001 0.439 0.6609
## F1$HeightM:F1$Row28 -0.0034258 0.0245001 -0.140 0.8888
## F1$HeightL:F1$Row29 -0.0395660 0.0240773 -1.643 0.1005
## F1$HeightM:F1$Row29 -0.0009924 0.0247088 -0.040 0.9680
## F1$HeightL:F1$Row3 0.0113063 0.0245001 0.461 0.6445
## F1$HeightM:F1$Row3 0.0072965 0.0245001 0.298 0.7659
## F1$HeightL:F1$Row30 -0.0048352 0.0247843 -0.195 0.8453
## F1$HeightM:F1$Row30 -0.0106480 0.0251210 -0.424 0.6717
## F1$HeightL:F1$Row31 -0.0167969 0.0222729 -0.754 0.4509
## F1$HeightM:F1$Row31 -0.0087353 0.0224697 -0.389 0.6975
## F1$HeightL:F1$Row32 -0.0443326 0.0225918 -1.962 0.0499 *
## F1$HeightM:F1$Row32 -0.0339466 0.0225918 -1.503 0.1331
## F1$HeightL:F1$Row33 0.0232785 0.0245001 0.950 0.3422
## F1$HeightM:F1$Row33 0.0251020 0.0245001 1.025 0.3057
## F1$HeightL:F1$Row34 0.0031882 0.0225918 0.141 0.8878
## F1$HeightM:F1$Row34 -0.0010508 0.0225918 -0.047 0.9629
## F1$HeightL:F1$Row35 -0.0273727 0.0223280 -1.226 0.2204
## F1$HeightM:F1$Row35 -0.0300492 0.0223280 -1.346 0.1786
## F1$HeightL:F1$Row36 0.0310739 0.0247843 1.254 0.2101
## F1$HeightM:F1$Row36 0.0061853 0.0245001 0.252 0.8007
## F1$HeightL:F1$Row37 -0.0041786 0.0247843 -0.169 0.8661
## F1$HeightM:F1$Row37 -0.0203702 0.0245001 -0.831 0.4058
## F1$HeightL:F1$Row38 0.0070285 0.0245001 0.287 0.7742
## F1$HeightM:F1$Row38 0.0081187 0.0251210 0.323 0.7466
## F1$HeightL:F1$Row39 -0.0354160 0.0245001 -1.446 0.1485
## F1$HeightM:F1$Row39 -0.0280924 0.0245001 -1.147 0.2517
## F1$HeightL:F1$Row4 0.0025174 0.0240773 0.105 0.9167
## F1$HeightM:F1$Row4 -0.0259924 0.0243664 -1.067 0.2862
## F1$HeightL:F1$Row40 0.0203063 0.0245001 0.829 0.4073
## F1$HeightM:F1$Row40 0.0113798 0.0245001 0.464 0.6424
## F1$HeightL:F1$Row41 -0.0093604 0.0223059 -0.420 0.6748
## F1$HeightM:F1$Row41 -0.0017493 0.0224409 -0.078 0.9379
## F1$HeightL:F1$Row42 0.0096901 0.0247843 0.391 0.6959
## F1$HeightM:F1$Row42 0.0271640 0.0242571 1.120 0.2629
## F1$HeightL:F1$Row43 -0.0341660 0.0250186 -1.366 0.1722
## F1$HeightM:F1$Row43 -0.0383424 0.0252970 -1.516 0.1298
## F1$HeightL:F1$Row44 -0.0071243 0.0250186 -0.285 0.7759
## F1$HeightM:F1$Row44 -0.0151341 0.0250186 -0.605 0.5453
## F1$HeightL:F1$Row45 0.0150215 0.0225918 0.665 0.5062
## F1$HeightM:F1$Row45 0.0215409 0.0227616 0.946 0.3441
## F1$HeightL:F1$Row46 -0.0127160 0.0230672 -0.551 0.5815
## F1$HeightM:F1$Row46 -0.0425630 0.0227508 -1.871 0.0615 .
## F1$HeightL:F1$Row47 -0.0047365 0.0224998 -0.211 0.8333
## F1$HeightM:F1$Row47 -0.0123796 0.0224998 -0.550 0.5823
## F1$HeightL:F1$Row48 -0.0148134 0.0242571 -0.611 0.5415
## F1$HeightM:F1$Row48 -0.0011227 0.0247843 -0.045 0.9639
## F1$HeightL:F1$Row49 -0.0222701 0.0225918 -0.986 0.3244
## F1$HeightM:F1$Row49 -0.0178216 0.0225918 -0.789 0.4303
## F1$HeightL:F1$Row5 -0.0255927 0.0247843 -1.033 0.3019
## F1$HeightM:F1$Row5 -0.0017313 0.0245001 -0.071 0.9437
## F1$HeightL:F1$Row50 0.0097619 0.0209182 0.467 0.6408
## F1$HeightM:F1$Row50 -0.0149284 0.0211385 -0.706 0.4802
## F1$HeightL:F1$Row6 0.0201118 0.0245001 0.821 0.4118
## F1$HeightM:F1$Row6 0.0214353 0.0245001 0.875 0.3818
## F1$HeightL:F1$Row7 -0.0229437 0.0245001 -0.936 0.3492
## F1$HeightM:F1$Row7 -0.0400369 0.0245001 -1.634 0.1024
## F1$HeightL:F1$Row8 -0.0279993 0.0245001 -1.143 0.2533
## F1$HeightM:F1$Row8 -0.0370091 0.0245001 -1.511 0.1311
## F1$HeightL:F1$Row9 -0.0133826 0.0240773 -0.556 0.5784
## F1$HeightM:F1$Row9 -0.0200591 0.0240773 -0.833 0.4049
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.043 on 1642 degrees of freedom
## Multiple R-squared: 0.1391, Adjusted R-squared: 0.061
## F-statistic: 1.781 on 149 and 1642 DF, p-value: 9.888e-08
## Analysis of Variance Table
##
## Response: F1$Chl
## Df Sum Sq Mean Sq F value Pr(>F)
## F1$Height 2 853 426.30 2.0422 0.130152
## F1$Column 3 1577 525.57 2.5178 0.056677 .
## F1$Row 49 21813 445.16 2.1326 1.244e-05 ***
## F1$Height:F1$Column 6 1282 213.61 1.0233 0.408244
## F1$Height:F1$Row 98 27033 275.85 1.3215 0.022708 *
## F1$Column:F1$Row 106 24037 226.77 1.0863 0.265386
## F1$Height:F1$Column:F1$Row 212 59670 281.46 1.3484 0.001427 **
## Residuals 1315 274499 208.74
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Call:
## lm(formula = F1$Chl ~ F1$Height * F1$Column * F1$Row)
##
## Residuals:
## Min 1Q Median 3Q Max
## -39.120 -8.173 0.611 9.071 35.808
##
## Coefficients: (123 not defined because of singularities)
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 43.55900 5.10814 8.527 < 2e-16 ***
## F1$HeightL -14.31022 7.02047 -2.038 0.041714 *
## F1$HeightM -11.88889 7.02047 -1.693 0.090605 .
## F1$Column2 -7.24633 9.78134 -0.741 0.458928
## F1$Column3 -10.15133 9.78134 -1.038 0.299542
## F1$Column4 -4.95525 9.78134 -0.507 0.612519
## F1$Row10 -11.01125 8.84756 -1.245 0.213518
## F1$Row11 -25.25675 7.22400 -3.496 0.000488 ***
## F1$Row12 3.02567 9.78134 0.309 0.757119
## F1$Row13 -16.12800 11.42215 -1.412 0.158188
## F1$Row14 -6.58767 9.78134 -0.673 0.500752
## F1$Row15 5.63067 9.78134 0.576 0.564948
## F1$Row16 -8.31933 9.78134 -0.851 0.395185
## F1$Row17 8.59133 11.79674 0.728 0.466572
## F1$Row18 -18.66800 9.78134 -1.909 0.056540 .
## F1$Row19 -14.45133 9.78134 -1.477 0.139798
## F1$Row2 -15.41900 9.78134 -1.576 0.115181
## F1$Row20 -14.67033 9.78134 -1.500 0.133899
## F1$Row21 -9.02400 8.84756 -1.020 0.307943
## F1$Row22 -21.62233 9.78134 -2.211 0.027237 *
## F1$Row23 -10.57300 9.78134 -1.081 0.279924
## F1$Row24 -13.99667 9.78134 -1.431 0.152681
## F1$Row25 -23.96133 9.78134 -2.450 0.014427 *
## F1$Row26 -7.37650 11.42215 -0.646 0.518517
## F1$Row27 -9.38367 9.78134 -0.959 0.337562
## F1$Row28 -16.80833 9.78134 -1.718 0.085958 .
## F1$Row29 -9.87900 9.78134 -1.010 0.312689
## F1$Row3 -25.03033 9.78134 -2.559 0.010609 *
## F1$Row30 -25.84200 9.78134 -2.642 0.008340 **
## F1$Row31 -15.66987 7.22400 -2.169 0.030251 *
## F1$Row32 -2.21033 9.78134 -0.226 0.821256
## F1$Row33 -19.93567 9.78134 -2.038 0.041737 *
## F1$Row34 -0.15867 9.78134 -0.016 0.987060
## F1$Row35 -10.74075 8.84756 -1.214 0.224974
## F1$Row36 -4.22167 9.78134 -0.432 0.666100
## F1$Row37 -12.60100 9.78134 -1.288 0.197879
## F1$Row38 -4.37800 11.42215 -0.383 0.701566
## F1$Row39 -8.52333 9.78134 -0.871 0.383702
## F1$Row4 -0.38775 8.84756 -0.044 0.965050
## F1$Row40 -29.62900 9.78134 -3.029 0.002500 **
## F1$Row41 3.45450 8.84756 0.390 0.696269
## F1$Row42 3.16567 9.78134 0.324 0.746260
## F1$Row43 -16.10800 9.78134 -1.647 0.099836 .
## F1$Row44 5.27250 11.42215 0.462 0.644442
## F1$Row45 -12.71667 9.78134 -1.300 0.193797
## F1$Row46 -19.19950 11.42215 -1.681 0.093020 .
## F1$Row47 -13.71000 9.78134 -1.402 0.161256
## F1$Row48 -2.85533 9.78134 -0.292 0.770397
## F1$Row49 8.19833 9.78134 0.838 0.402093
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## F1$HeightM:F1$Row45 24.70606 13.07879 1.889 0.059109 .
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## F1$HeightM:F1$Column3:F1$Row20 -34.33831 20.36149 -1.686 0.091949 .
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## F1$HeightM:F1$Column4:F1$Row23 27.74319 20.94308 1.325 0.185502
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## F1$HeightM:F1$Column2:F1$Row24 -36.69634 20.95099 -1.752 0.080087 .
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## F1$HeightM:F1$Column3:F1$Row24 -27.69459 20.10356 -1.378 0.168562
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## F1$HeightM:F1$Column4:F1$Row24 NA NA NA NA
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## F1$HeightM:F1$Column2:F1$Row25 -50.60206 20.36149 -2.485 0.013072 *
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## F1$HeightM:F1$Column3:F1$Row25 -32.53339 20.36149 -1.598 0.110330
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## F1$HeightM:F1$Column4:F1$Row25 NA NA NA NA
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## F1$HeightL:F1$Column4:F1$Row26 NA NA NA NA
## F1$HeightM:F1$Column4:F1$Row26 NA NA NA NA
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## F1$HeightM:F1$Column3:F1$Row27 3.77236 21.19861 0.178 0.858787
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## F1$HeightM:F1$Column4:F1$Row27 NA NA NA NA
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## F1$HeightM:F1$Column2:F1$Row28 -42.37839 20.36149 -2.081 0.037599 *
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## F1$HeightM:F1$Column3:F1$Row28 -24.66514 20.36149 -1.211 0.225974
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## F1$HeightM:F1$Column4:F1$Row28 NA NA NA NA
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## F1$HeightM:F1$Column4:F1$Row29 NA NA NA NA
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## F1$HeightM:F1$Column2:F1$Row3 -68.29689 20.36149 -3.354 0.000819 ***
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## F1$HeightM:F1$Column3:F1$Row3 -41.73372 20.36149 -2.050 0.040598 *
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## F1$HeightM:F1$Column4:F1$Row3 NA NA NA NA
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## F1$HeightM:F1$Column2:F1$Row30 -42.63931 21.19861 -2.011 0.044485 *
## F1$HeightL:F1$Column3:F1$Row30 -34.38197 20.36149 -1.689 0.091537 .
## F1$HeightM:F1$Column3:F1$Row30 -39.67822 20.78427 -1.909 0.056473 .
## F1$HeightL:F1$Column4:F1$Row30 NA NA NA NA
## F1$HeightM:F1$Column4:F1$Row30 NA NA NA NA
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## F1$HeightM:F1$Column4:F1$Row31 NA NA NA NA
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## F1$HeightM:F1$Column2:F1$Row32 -28.73931 20.36149 -1.411 0.158347
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## F1$HeightM:F1$Column3:F1$Row32 -2.24139 20.36149 -0.110 0.912363
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## F1$HeightM:F1$Column3:F1$Row33 -36.95656 20.36149 -1.815 0.069748 .
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## F1$HeightM:F1$Column4:F1$Row33 NA NA NA NA
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## F1$HeightM:F1$Column2:F1$Row34 -11.34156 20.36149 -0.557 0.577615
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## F1$HeightM:F1$Column3:F1$Row34 8.96261 20.36149 0.440 0.659883
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## F1$HeightM:F1$Column4:F1$Row36 NA NA NA NA
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## F1$HeightM:F1$Column4:F1$Row37 NA NA NA NA
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## F1$HeightM:F1$Column4:F1$Row38 NA NA NA NA
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## F1$HeightM:F1$Column3:F1$Row39 -38.84581 20.36149 -1.908 0.056634 .
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## F1$HeightM:F1$Column4:F1$Row39 NA NA NA NA
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## F1$HeightM:F1$Column4:F1$Row40 NA NA NA NA
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## F1$HeightM:F1$Column4:F1$Row46 -40.90834 21.10855 -1.938 0.052837 .
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## F1$HeightM:F1$Column3:F1$Row47 -50.79456 20.36149 -2.495 0.012730 *
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## F1$HeightL:F1$Column4:F1$Row5 NA NA NA NA
## F1$HeightM:F1$Column4:F1$Row5 NA NA NA NA
## F1$HeightL:F1$Column2:F1$Row50 -5.29357 18.43340 -0.287 0.774025
## F1$HeightM:F1$Column2:F1$Row50 -39.59000 18.67448 -2.120 0.034192 *
## F1$HeightL:F1$Column3:F1$Row50 11.73526 18.43340 0.637 0.524476
## F1$HeightM:F1$Column3:F1$Row50 -7.26466 18.67448 -0.389 0.697328
## F1$HeightL:F1$Column4:F1$Row50 NA NA NA NA
## F1$HeightM:F1$Column4:F1$Row50 NA NA NA NA
## F1$HeightL:F1$Column2:F1$Row6 -30.30514 20.36149 -1.488 0.136897
## F1$HeightM:F1$Column2:F1$Row6 -33.50456 20.36149 -1.645 0.100109
## F1$HeightL:F1$Column3:F1$Row6 -34.96931 20.36149 -1.717 0.086137 .
## F1$HeightM:F1$Column3:F1$Row6 2.94403 20.36149 0.145 0.885058
## F1$HeightL:F1$Column4:F1$Row6 NA NA NA NA
## F1$HeightM:F1$Column4:F1$Row6 NA NA NA NA
## F1$HeightL:F1$Column2:F1$Row7 -12.50106 20.36149 -0.614 0.539351
## F1$HeightM:F1$Column2:F1$Row7 -53.45247 20.36149 -2.625 0.008761 **
## F1$HeightL:F1$Column3:F1$Row7 -49.86822 20.36149 -2.449 0.014449 *
## F1$HeightM:F1$Column3:F1$Row7 -32.60014 20.36149 -1.601 0.109602
## F1$HeightL:F1$Column4:F1$Row7 NA NA NA NA
## F1$HeightM:F1$Column4:F1$Row7 NA NA NA NA
## F1$HeightL:F1$Column2:F1$Row8 -39.09747 20.36149 -1.920 0.055053 .
## F1$HeightM:F1$Column2:F1$Row8 -36.99064 20.36149 -1.817 0.069491 .
## F1$HeightL:F1$Column3:F1$Row8 3.63803 20.36149 0.179 0.858223
## F1$HeightM:F1$Column3:F1$Row8 5.55961 20.36149 0.273 0.784861
## F1$HeightL:F1$Column4:F1$Row8 NA NA NA NA
## F1$HeightM:F1$Column4:F1$Row8 NA NA NA NA
## F1$HeightL:F1$Column2:F1$Row9 -14.11614 20.36149 -0.693 0.488259
## F1$HeightM:F1$Column2:F1$Row9 -16.28231 20.36149 -0.800 0.424051
## F1$HeightL:F1$Column3:F1$Row9 1.83961 19.92975 0.092 0.926470
## F1$HeightM:F1$Column3:F1$Row9 4.40169 19.92975 0.221 0.825235
## F1$HeightL:F1$Column4:F1$Row9 NA NA NA NA
## F1$HeightM:F1$Column4:F1$Row9 NA NA NA NA
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 14.45 on 1315 degrees of freedom
## Multiple R-squared: 0.3317, Adjusted R-squared: 0.08984
## F-statistic: 1.371 on 476 and 1315 DF, p-value: 9.198e-06
## Analysis of Variance Table
##
## Response: F1$Chl
## Df Sum Sq Mean Sq F value Pr(>F)
## F1$Height 2 853 426.30 1.9372 0.14444
## F1$Row 49 21279 434.27 1.9734 8.34e-05 ***
## F1$Height:F1$Row 98 27286 278.43 1.2652 0.04464 *
## Residuals 1642 361346 220.06
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Call:
## lm(formula = F1$Chl ~ F1$Height * F1$Row)
##
## Residuals:
## Min 1Q Median 3Q Max
## -39.13 -10.18 1.22 10.85 30.96
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 39.83093 3.96470 10.046 < 2e-16 ***
## F1$HeightL -8.55293 5.35386 -1.598 0.110341
## F1$HeightM -3.36581 5.35386 -0.629 0.529653
## F1$Row10 -7.51663 6.14209 -1.224 0.221207
## F1$Row11 -13.28214 5.60694 -2.369 0.017957 *
## F1$Row12 -2.27726 6.33802 -0.359 0.719415
## F1$Row13 -8.56780 6.57472 -1.303 0.192708
## F1$Row14 -7.41348 6.33802 -1.170 0.242298
## F1$Row15 5.03374 6.33802 0.794 0.427186
## F1$Row16 -8.71637 6.33802 -1.375 0.169241
## F1$Row17 -5.98110 7.23853 -0.826 0.408762
## F1$Row18 -13.31304 6.33802 -2.101 0.035837 *
## F1$Row19 -4.74904 6.33802 -0.749 0.453787
## F1$Row2 -4.73660 6.33802 -0.747 0.454971
## F1$Row20 -7.98335 5.83589 -1.368 0.171507
## F1$Row21 -1.57963 6.14209 -0.257 0.797071
## F1$Row22 -7.20226 6.33802 -1.136 0.255972
## F1$Row23 -20.46235 5.83589 -3.506 0.000467 ***
## F1$Row24 -1.68118 6.57472 -0.256 0.798212
## F1$Row25 -11.63393 6.33802 -1.836 0.066601 .
## F1$Row26 -8.92336 6.86707 -1.299 0.193975
## F1$Row27 -1.24880 6.57472 -0.190 0.849379
## F1$Row28 -6.44482 6.33802 -1.017 0.309374
## F1$Row29 -7.79893 6.14209 -1.270 0.204353
## F1$Row3 -3.75571 6.33802 -0.593 0.553552
## F1$Row30 -12.33571 6.33802 -1.946 0.051789 .
## F1$Row31 -7.95479 5.60694 -1.419 0.156165
## F1$Row32 -4.40576 5.83589 -0.755 0.450391
## F1$Row33 -6.37093 6.33802 -1.005 0.314952
## F1$Row34 -2.24893 5.83589 -0.385 0.700019
## F1$Row35 -11.67631 5.71375 -2.044 0.041158 *
## F1$Row36 0.64140 6.33802 0.101 0.919404
## F1$Row37 -13.48882 6.33802 -2.128 0.033466 *
## F1$Row38 -5.86760 6.33802 -0.926 0.354698
## F1$Row39 -7.79071 6.33802 -1.229 0.219172
## F1$Row4 -9.27603 6.14209 -1.510 0.131175
## F1$Row40 -7.15848 6.33802 -1.129 0.258872
## F1$Row41 0.27565 5.83589 0.047 0.962332
## F1$Row42 1.37118 6.33802 0.216 0.828748
## F1$Row43 -14.53405 6.57472 -2.211 0.027201 *
## F1$Row44 1.95657 6.57472 0.298 0.766054
## F1$Row45 -3.82960 5.83589 -0.656 0.511778
## F1$Row46 6.91171 5.97702 1.156 0.247694
## F1$Row47 -3.04131 5.71375 -0.532 0.594604
## F1$Row48 0.96685 6.33802 0.153 0.878774
## F1$Row49 -7.22093 5.83589 -1.237 0.216141
## F1$Row5 -5.74504 6.33802 -0.906 0.364836
## F1$Row50 -3.95940 5.35386 -0.740 0.459684
## F1$Row6 1.11218 6.33802 0.175 0.860726
## F1$Row7 -15.98137 6.33802 -2.522 0.011779 *
## F1$Row8 -8.07215 6.33802 -1.274 0.202983
## F1$Row9 -7.74213 6.14209 -1.261 0.207667
## F1$HeightL:F1$Row10 4.24346 8.30716 0.511 0.609546
## F1$HeightM:F1$Row10 2.62251 8.52506 0.308 0.758408
## F1$HeightL:F1$Row11 14.58198 7.52386 1.938 0.052783 .
## F1$HeightM:F1$Row11 6.55355 7.57151 0.866 0.386861
## F1$HeightL:F1$Row12 7.36453 8.55110 0.861 0.389233
## F1$HeightM:F1$Row12 -3.42827 8.45306 -0.406 0.685114
## F1$HeightL:F1$Row13 6.62117 8.72799 0.759 0.448193
## F1$HeightM:F1$Row13 5.68609 8.84185 0.643 0.520257
## F1$HeightL:F1$Row14 7.77940 8.45306 0.920 0.357548
## F1$HeightM:F1$Row14 11.21478 8.45306 1.327 0.184788
## F1$HeightL:F1$Row15 -7.20465 8.45306 -0.852 0.394164
## F1$HeightM:F1$Row15 -1.77986 8.45306 -0.211 0.833259
## F1$HeightL:F1$Row16 14.23477 8.66729 1.642 0.100708
## F1$HeightM:F1$Row16 -0.42584 8.55110 -0.050 0.960289
## F1$HeightL:F1$Row17 -0.19203 9.63583 -0.020 0.984103
## F1$HeightM:F1$Row17 7.37160 9.63583 0.765 0.444370
## F1$HeightL:F1$Row18 21.59024 8.66729 2.491 0.012836 *
## F1$HeightM:F1$Row18 19.47865 8.55110 2.278 0.022860 *
## F1$HeightL:F1$Row19 15.86629 8.45306 1.877 0.060697 .
## F1$HeightM:F1$Row19 5.49109 8.45306 0.650 0.516043
## F1$HeightL:F1$Row2 4.13268 8.45306 0.489 0.624979
## F1$HeightM:F1$Row2 2.75864 8.45306 0.326 0.744202
## F1$HeightL:F1$Row20 12.13160 7.79465 1.556 0.119806
## F1$HeightM:F1$Row20 -1.12577 7.79465 -0.144 0.885180
## F1$HeightL:F1$Row21 8.28370 8.14795 1.017 0.309465
## F1$HeightM:F1$Row21 -2.76918 8.22182 -0.337 0.736304
## F1$HeightL:F1$Row22 23.47610 8.45306 2.777 0.005545 **
## F1$HeightM:F1$Row22 6.64173 8.45306 0.786 0.432145
## F1$HeightL:F1$Row23 30.09266 7.79465 3.861 0.000117 ***
## F1$HeightM:F1$Row23 19.36656 7.85325 2.466 0.013762 *
## F1$HeightL:F1$Row24 10.79993 8.63195 1.251 0.211055
## F1$HeightM:F1$Row24 8.24160 8.54985 0.964 0.335215
## F1$HeightL:F1$Row25 13.70551 8.45306 1.621 0.105131
## F1$HeightM:F1$Row25 8.64298 8.45306 1.022 0.306710
## F1$HeightL:F1$Row26 15.93827 8.85665 1.800 0.072110 .
## F1$HeightM:F1$Row26 4.51232 8.85665 0.509 0.610482
## F1$HeightL:F1$Row27 11.69814 8.63195 1.355 0.175536
## F1$HeightM:F1$Row27 -2.97215 8.63195 -0.344 0.730650
## F1$HeightL:F1$Row28 21.84348 8.45306 2.584 0.009849 **
## F1$HeightM:F1$Row28 7.52895 8.45306 0.891 0.373232
## F1$HeightL:F1$Row29 12.42960 8.30716 1.496 0.134781
## F1$HeightM:F1$Row29 -2.62909 8.52506 -0.308 0.757821
## F1$HeightL:F1$Row3 -7.12563 8.45306 -0.843 0.399371
## F1$HeightM:F1$Row3 0.61917 8.45306 0.073 0.941617
## F1$HeightL:F1$Row30 17.48543 8.55110 2.045 0.041032 *
## F1$HeightM:F1$Row30 7.27239 8.66729 0.839 0.401557
## F1$HeightL:F1$Row31 14.06079 7.68464 1.830 0.067472 .
## F1$HeightM:F1$Row31 -1.58119 7.75252 -0.204 0.838412
## F1$HeightL:F1$Row32 11.20951 7.79465 1.438 0.150595
## F1$HeightM:F1$Row32 -0.91604 7.79465 -0.118 0.906461
## F1$HeightL:F1$Row33 11.06060 8.45306 1.308 0.190896
## F1$HeightM:F1$Row33 5.85339 8.45306 0.692 0.488747
## F1$HeightL:F1$Row34 4.41680 7.79465 0.567 0.571032
## F1$HeightM:F1$Row34 5.47812 7.79465 0.703 0.482277
## F1$HeightL:F1$Row35 17.02381 7.70363 2.210 0.027254 *
## F1$HeightM:F1$Row35 9.40432 7.70363 1.221 0.222350
## F1$HeightL:F1$Row36 16.16541 8.55110 1.890 0.058874 .
## F1$HeightM:F1$Row36 5.49423 8.45306 0.650 0.515803
## F1$HeightL:F1$Row37 15.33527 8.55110 1.793 0.073098 .
## F1$HeightM:F1$Row37 17.13195 8.45306 2.027 0.042853 *
## F1$HeightL:F1$Row38 9.91118 8.45306 1.172 0.241168
## F1$HeightM:F1$Row38 2.39308 8.66729 0.276 0.782503
## F1$HeightL:F1$Row39 15.66821 8.45306 1.854 0.063982 .
## F1$HeightM:F1$Row39 6.18759 8.45306 0.732 0.464276
## F1$HeightL:F1$Row4 11.17420 8.30716 1.345 0.178770
## F1$HeightM:F1$Row4 10.30600 8.40691 1.226 0.220413
## F1$HeightL:F1$Row40 12.41290 8.45306 1.468 0.142173
## F1$HeightM:F1$Row40 5.04453 8.45306 0.597 0.550743
## F1$HeightL:F1$Row41 4.11585 7.69600 0.535 0.592858
## F1$HeightM:F1$Row41 3.40270 7.74258 0.439 0.660373
## F1$HeightL:F1$Row42 0.08045 8.55110 0.009 0.992494
## F1$HeightM:F1$Row42 -4.61453 8.36920 -0.551 0.581455
## F1$HeightL:F1$Row43 22.24914 8.63195 2.578 0.010037 *
## F1$HeightM:F1$Row43 14.03348 8.72799 1.608 0.108056
## F1$HeightL:F1$Row44 8.95968 8.63195 1.038 0.299438
## F1$HeightM:F1$Row44 1.84281 8.63195 0.213 0.830974
## F1$HeightL:F1$Row45 8.69522 7.79465 1.116 0.264784
## F1$HeightM:F1$Row45 3.41394 7.85325 0.435 0.663825
## F1$HeightL:F1$Row46 0.92676 7.95868 0.116 0.907313
## F1$HeightM:F1$Row46 2.48894 7.84950 0.317 0.751221
## F1$HeightL:F1$Row47 5.97038 7.76291 0.769 0.441950
## F1$HeightM:F1$Row47 -1.85587 7.76291 -0.239 0.811082
## F1$HeightL:F1$Row48 7.29615 8.36920 0.872 0.383453
## F1$HeightM:F1$Row48 3.57058 8.55110 0.418 0.676325
## F1$HeightL:F1$Row49 15.03737 7.79465 1.929 0.053879 .
## F1$HeightM:F1$Row49 8.42812 7.79465 1.081 0.279736
## F1$HeightL:F1$Row5 3.56759 8.55110 0.417 0.676581
## F1$HeightM:F1$Row5 -5.12299 8.45306 -0.606 0.544564
## F1$HeightL:F1$Row50 3.06564 7.21721 0.425 0.671062
## F1$HeightM:F1$Row50 11.18733 7.29323 1.534 0.125238
## F1$HeightL:F1$Row6 -7.70402 8.45306 -0.911 0.362225
## F1$HeightM:F1$Row6 -10.58788 8.45306 -1.253 0.210547
## F1$HeightL:F1$Row7 20.65071 8.45306 2.443 0.014671 *
## F1$HeightM:F1$Row7 13.84384 8.45306 1.638 0.101669
## F1$HeightL:F1$Row8 5.01040 8.45306 0.593 0.553442
## F1$HeightM:F1$Row8 6.13653 8.45306 0.726 0.467970
## F1$HeightL:F1$Row9 13.29071 8.30716 1.600 0.109811
## F1$HeightM:F1$Row9 7.82776 8.30716 0.942 0.346183
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 14.83 on 1642 degrees of freedom
## Multiple R-squared: 0.1203, Adjusted R-squared: 0.04048
## F-statistic: 1.507 on 149 and 1642 DF, p-value: 0.0001462
## Analysis of Variance Table
##
## Response: F1$Chl
## Df Sum Sq Mean Sq F value Pr(>F)
## F1$Row 49 21394 436.61 1.9533 0.0001046 ***
## Residuals 1742 389370 223.52
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Call:
## lm(formula = F1$Chl ~ F1$Row)
##
## Residuals:
## Min 1Q Median 3Q Max
## -40.413 -10.894 1.242 11.481 30.448
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 35.60971 2.15793 16.502 < 2e-16 ***
## F1$Row10 -5.14374 3.41198 -1.508 0.13185
## F1$Row11 -5.74022 3.03616 -1.891 0.05884 .
## F1$Row12 -1.01233 3.41198 -0.297 0.76673
## F1$Row13 -4.27923 3.51628 -1.217 0.22378
## F1$Row14 -0.61937 3.38082 -0.183 0.85466
## F1$Row15 1.65378 3.38082 0.489 0.62479
## F1$Row16 -3.99147 3.47955 -1.147 0.25149
## F1$Row17 -3.48321 3.84923 -0.905 0.36564
## F1$Row18 1.16199 3.47955 0.334 0.73846
## F1$Row19 2.90441 3.38082 0.859 0.39041
## F1$Row2 -2.34353 3.38082 -0.693 0.48829
## F1$Row20 -4.09409 3.12036 -1.312 0.18967
## F1$Row21 0.38418 3.27073 0.117 0.90651
## F1$Row22 3.63681 3.38082 1.076 0.28220
## F1$Row23 -2.64469 3.13923 -0.842 0.39964
## F1$Row24 5.27790 3.38082 1.561 0.11868
## F1$Row25 -3.62007 3.38082 -1.071 0.28442
## F1$Row26 -1.39948 3.44484 -0.406 0.68461
## F1$Row27 1.77514 3.41198 0.520 0.60294
## F1$Row28 4.12320 3.38082 1.220 0.22279
## F1$Row29 -3.99736 3.41198 -1.172 0.24153
## F1$Row3 -6.23456 3.38082 -1.844 0.06534 .
## F1$Row30 -3.53704 3.47955 -1.017 0.30952
## F1$Row31 -3.42287 3.13923 -1.090 0.27571
## F1$Row32 -0.77555 3.12036 -0.249 0.80374
## F1$Row33 -0.33325 3.38082 -0.099 0.92149
## F1$Row34 1.23636 3.12036 0.396 0.69199
## F1$Row35 -2.29620 3.10222 -0.740 0.45929
## F1$Row36 8.27757 3.41198 2.426 0.01537 *
## F1$Row37 -1.77386 3.41198 -0.520 0.60320
## F1$Row38 -1.43439 3.44484 -0.416 0.67718
## F1$Row39 0.04399 3.38082 0.013 0.98962
## F1$Row4 -1.78822 3.38082 -0.529 0.59692
## F1$Row40 -0.92319 3.38082 -0.273 0.78483
## F1$Row41 2.81091 3.06796 0.916 0.35968
## F1$Row42 -0.37553 3.38082 -0.111 0.91157
## F1$Row43 -1.22577 3.44484 -0.356 0.72201
## F1$Row44 5.75920 3.41198 1.688 0.09160 .
## F1$Row45 0.46136 3.13923 0.147 0.88318
## F1$Row46 8.12597 3.13923 2.589 0.00972 **
## F1$Row47 -1.54250 3.13923 -0.491 0.62323
## F1$Row48 4.76123 3.38082 1.408 0.15922
## F1$Row49 1.19911 3.12036 0.384 0.70081
## F1$Row5 -6.42083 3.41198 -1.882 0.06002 .
## F1$Row50 0.84736 2.92883 0.289 0.77237
## F1$Row6 -5.65228 3.38082 -1.672 0.09473 .
## F1$Row7 -3.55077 3.38082 -1.050 0.29374
## F1$Row8 -4.13159 3.38082 -1.222 0.22185
## F1$Row9 -0.27394 3.35123 -0.082 0.93486
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 14.95 on 1742 degrees of freedom
## Multiple R-squared: 0.05208, Adjusted R-squared: 0.02542
## F-statistic: 1.953 on 49 and 1742 DF, p-value: 0.0001046
## Analysis of Variance Table
##
## Response: F1$Flav
## Df Sum Sq Mean Sq F value Pr(>F)
## F1$Height 2 0.915 0.45758 9.3660 9.143e-05 ***
## F1$Column 3 2.323 0.77447 15.8523 3.957e-10 ***
## F1$Row 49 8.139 0.16611 3.4001 1.213e-13 ***
## F1$Height:F1$Column 6 1.004 0.16728 3.4240 0.002334 **
## F1$Height:F1$Row 98 5.743 0.05860 1.1995 0.096365 .
## F1$Column:F1$Row 106 14.790 0.13953 2.8559 < 2.2e-16 ***
## F1$Height:F1$Column:F1$Row 212 12.988 0.06126 1.2540 0.012358 *
## Residuals 1315 64.245 0.04886
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Call:
## lm(formula = F1$Flav ~ F1$Height * F1$Column * F1$Row)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.81100 -0.11175 0.00317 0.11644 0.68500
##
## Coefficients: (123 not defined because of singularities)
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 2.0903750 0.0781469 26.749 < 2e-16 ***
## F1$HeightL 0.1587361 0.1074026 1.478 0.139660
## F1$HeightM 0.0620694 0.1074026 0.578 0.563421
## F1$Column2 -0.0870417 0.1496399 -0.582 0.560886
## F1$Column3 -0.1303750 0.1496399 -0.871 0.383772
## F1$Column4 0.0530833 0.1496399 0.355 0.722841
## F1$Row10 -0.1423750 0.1353544 -1.052 0.293053
## F1$Row11 -0.1173750 0.1105164 -1.062 0.288404
## F1$Row12 -0.2740417 0.1496399 -1.831 0.067276 .
## F1$Row13 -0.8863750 0.1747417 -5.072 4.49e-07 ***
## F1$Row14 -0.0810417 0.1496399 -0.542 0.588201
## F1$Row15 -0.1737083 0.1496399 -1.161 0.245917
## F1$Row16 -0.0240417 0.1496399 -0.161 0.872383
## F1$Row17 -0.0360000 0.1804725 -0.199 0.841921
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## F1$HeightM:F1$Column2:F1$Row21 0.1229861 0.3008626 0.409 0.682769
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## F1$HeightL:F1$Column3:F1$Row43 0.3269028 0.3243069 1.008 0.313638
## F1$HeightM:F1$Column3:F1$Row43 0.8996528 0.3305242 2.722 0.006577 **
## F1$HeightL:F1$Column4:F1$Row43 NA NA NA NA
## F1$HeightM:F1$Column4:F1$Row43 NA NA NA NA
## F1$HeightL:F1$Column2:F1$Row44 0.4056528 0.3243069 1.251 0.211219
## F1$HeightM:F1$Column2:F1$Row44 0.1364861 0.3243069 0.421 0.673930
## F1$HeightL:F1$Column3:F1$Row44 0.5889861 0.3243069 1.816 0.069577 .
## F1$HeightM:F1$Column3:F1$Row44 0.0090694 0.3243069 0.028 0.977694
## F1$HeightL:F1$Column4:F1$Row44 NA NA NA NA
## F1$HeightM:F1$Column4:F1$Row44 NA NA NA NA
## F1$HeightL:F1$Column2:F1$Row45 -0.0380972 0.3115002 -0.122 0.902678
## F1$HeightM:F1$Column2:F1$Row45 0.0854861 0.3115002 0.274 0.783795
## F1$HeightL:F1$Column3:F1$Row45 -0.2010139 0.3115002 -0.645 0.518840
## F1$HeightM:F1$Column3:F1$Row45 0.1052361 0.3179680 0.331 0.740724
## F1$HeightL:F1$Column4:F1$Row45 0.3528667 0.3171133 1.113 0.266021
## F1$HeightM:F1$Column4:F1$Row45 0.2490952 0.3139799 0.793 0.427718
## F1$HeightL:F1$Column2:F1$Row46 0.2172361 0.3305242 0.657 0.511137
## F1$HeightM:F1$Column2:F1$Row46 0.3108528 0.3205186 0.970 0.332303
## F1$HeightL:F1$Column3:F1$Row46 0.1927361 0.3305242 0.583 0.559911
## F1$HeightM:F1$Column3:F1$Row46 0.4296028 0.3205186 1.340 0.180368
## F1$HeightL:F1$Column4:F1$Row46 0.2660333 0.3358195 0.792 0.428392
## F1$HeightM:F1$Column4:F1$Row46 0.3835452 0.3229290 1.188 0.235163
## F1$HeightL:F1$Column2:F1$Row47 0.4869028 0.3115002 1.563 0.118272
## F1$HeightM:F1$Column2:F1$Row47 0.5034861 0.3115002 1.616 0.106264
## F1$HeightL:F1$Column3:F1$Row47 0.3045694 0.3048952 0.999 0.318012
## F1$HeightM:F1$Column3:F1$Row47 0.3749861 0.3115002 1.204 0.228881
## F1$HeightL:F1$Column4:F1$Row47 0.5986167 0.3234689 1.851 0.064449 .
## F1$HeightM:F1$Column4:F1$Row47 0.3916786 0.3139799 1.247 0.212450
## F1$HeightL:F1$Column2:F1$Row48 0.4961528 0.3243069 1.530 0.126285
## F1$HeightM:F1$Column2:F1$Row48 0.2179861 0.3243069 0.672 0.501600
## F1$HeightL:F1$Column3:F1$Row48 0.3425694 0.3008626 1.139 0.255067
## F1$HeightM:F1$Column3:F1$Row48 -0.1496806 0.3115002 -0.481 0.630941
## F1$HeightL:F1$Column4:F1$Row48 NA NA NA NA
## F1$HeightM:F1$Column4:F1$Row48 NA NA NA NA
## F1$HeightL:F1$Column2:F1$Row49 -0.3095972 0.3115002 -0.994 0.320459
## F1$HeightM:F1$Column2:F1$Row49 -0.0790139 0.3115002 -0.254 0.799801
## F1$HeightL:F1$Column3:F1$Row49 -0.0405972 0.3115002 -0.130 0.896327
## F1$HeightM:F1$Column3:F1$Row49 -0.0765139 0.3115002 -0.246 0.806007
## F1$HeightL:F1$Column4:F1$Row49 -0.0304667 0.3171133 -0.096 0.923476
## F1$HeightM:F1$Column4:F1$Row49 -0.0727381 0.3139799 -0.232 0.816834
## F1$HeightL:F1$Column2:F1$Row5 -0.1093472 0.3179680 -0.344 0.730981
## F1$HeightM:F1$Column2:F1$Row5 0.0369028 0.3115002 0.118 0.905715
## F1$HeightL:F1$Column3:F1$Row5 0.4862361 0.3179680 1.529 0.126456
## F1$HeightM:F1$Column3:F1$Row5 0.0312361 0.3115002 0.100 0.920140
## F1$HeightL:F1$Column4:F1$Row5 NA NA NA NA
## F1$HeightM:F1$Column4:F1$Row5 NA NA NA NA
## F1$HeightL:F1$Column2:F1$Row50 0.2557861 0.2820033 0.907 0.364556
## F1$HeightM:F1$Column2:F1$Row50 0.1341409 0.2856915 0.470 0.638768
## F1$HeightL:F1$Column3:F1$Row50 0.1531194 0.2820033 0.543 0.587242
## F1$HeightM:F1$Column3:F1$Row50 -0.1475258 0.2856915 -0.516 0.605675
## F1$HeightL:F1$Column4:F1$Row50 NA NA NA NA
## F1$HeightM:F1$Column4:F1$Row50 NA NA NA NA
## F1$HeightL:F1$Column2:F1$Row6 0.2013194 0.3115002 0.646 0.518204
## F1$HeightM:F1$Column2:F1$Row6 0.2179028 0.3115002 0.700 0.484347
## F1$HeightL:F1$Column3:F1$Row6 0.3567361 0.3115002 1.145 0.252327
## F1$HeightM:F1$Column3:F1$Row6 0.2688194 0.3115002 0.863 0.388304
## F1$HeightL:F1$Column4:F1$Row6 NA NA NA NA
## F1$HeightM:F1$Column4:F1$Row6 NA NA NA NA
## F1$HeightL:F1$Column2:F1$Row7 -0.6249306 0.3115002 -2.006 0.045040 *
## F1$HeightM:F1$Column2:F1$Row7 -0.4188472 0.3115002 -1.345 0.178982
## F1$HeightL:F1$Column3:F1$Row7 -0.3128472 0.3115002 -1.004 0.315407
## F1$HeightM:F1$Column3:F1$Row7 -0.5587639 0.3115002 -1.794 0.073077 .
## F1$HeightL:F1$Column4:F1$Row7 NA NA NA NA
## F1$HeightM:F1$Column4:F1$Row7 NA NA NA NA
## F1$HeightL:F1$Column2:F1$Row8 -0.1920972 0.3115002 -0.617 0.537550
## F1$HeightM:F1$Column2:F1$Row8 -0.0927639 0.3115002 -0.298 0.765905
## F1$HeightL:F1$Column3:F1$Row8 0.2911528 0.3115002 0.935 0.350125
## F1$HeightM:F1$Column3:F1$Row8 0.1307361 0.3115002 0.420 0.674774
## F1$HeightL:F1$Column4:F1$Row8 NA NA NA NA
## F1$HeightM:F1$Column4:F1$Row8 NA NA NA NA
## F1$HeightL:F1$Column2:F1$Row9 -0.3841806 0.3115002 -1.233 0.217675
## F1$HeightM:F1$Column2:F1$Row9 -0.1185972 0.3115002 -0.381 0.703466
## F1$HeightL:F1$Column3:F1$Row9 -0.1493472 0.3048952 -0.490 0.624335
## F1$HeightM:F1$Column3:F1$Row9 0.0402361 0.3048952 0.132 0.895031
## F1$HeightL:F1$Column4:F1$Row9 NA NA NA NA
## F1$HeightM:F1$Column4:F1$Row9 NA NA NA NA
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.221 on 1315 degrees of freedom
## Multiple R-squared: 0.4167, Adjusted R-squared: 0.2056
## F-statistic: 1.974 on 476 and 1315 DF, p-value: < 2.2e-16
## Analysis of Variance Table
##
## Response: F1$NBI
## Df Sum Sq Mean Sq F value Pr(>F)
## F1$Height 2 100 50.044 0.7850 0.4563286
## F1$Column 3 818 272.802 4.2793 0.0051365 **
## F1$Row 49 7816 159.511 2.5021 8.551e-08 ***
## F1$Height:F1$Column 6 792 132.004 2.0707 0.0539220 .
## F1$Height:F1$Row 98 8175 83.418 1.3085 0.0268723 *
## F1$Column:F1$Row 106 7765 73.250 1.1490 0.1510179
## F1$Height:F1$Column:F1$Row 212 18842 88.877 1.3942 0.0004396 ***
## Residuals 1315 83831 63.750
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Call:
## lm(formula = F1$NBI ~ F1$Height * F1$Column * F1$Row)
##
## Residuals:
## Min 1Q Median 3Q Max
## -20.7633 -4.6044 0.1038 4.7150 24.3275
##
## Coefficients: (123 not defined because of singularities)
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 21.113750 2.822893 7.479 1.36e-13 ***
## F1$HeightL -7.893750 3.879696 -2.035 0.042088 *
## F1$HeightM -6.251528 3.879696 -1.611 0.107345
## F1$Column2 -3.607083 5.405429 -0.667 0.504693
## F1$Column3 -4.117083 5.405429 -0.762 0.446401
## F1$Column4 -4.794583 5.405429 -0.887 0.375244
## F1$Row10 -3.041250 4.889394 -0.622 0.534043
## F1$Row11 -11.893750 3.992174 -2.979 0.002942 **
## F1$Row12 4.509583 5.405429 0.834 0.404281
## F1$Row13 1.826250 6.312181 0.289 0.772381
## F1$Row14 -2.930417 5.405429 -0.542 0.587824
## F1$Row15 5.202917 5.405429 0.963 0.335958
## F1$Row16 -3.637083 5.405429 -0.673 0.501156
## F1$Row17 5.820000 6.519192 0.893 0.372155
## F1$Row18 -8.963750 5.405429 -1.658 0.097498 .
## F1$Row19 -5.090417 5.405429 -0.942 0.346507
## F1$Row2 -6.383750 5.405429 -1.181 0.237821
## F1$Row20 -6.393750 5.405429 -1.183 0.237087
## F1$Row21 -3.066250 4.889394 -0.627 0.530688
## F1$Row22 -10.073750 5.405429 -1.864 0.062596 .
## F1$Row23 -6.447083 5.405429 -1.193 0.233200
## F1$Row24 -6.117083 5.405429 -1.132 0.257986
## F1$Row25 -10.477083 5.405429 -1.938 0.052806 .
## F1$Row26 -3.418750 6.312181 -0.542 0.588178
## F1$Row27 -4.303750 5.405429 -0.796 0.426065
## F1$Row28 -5.533750 5.405429 -1.024 0.306147
## F1$Row29 -4.537083 5.405429 -0.839 0.401422
## F1$Row3 -11.967083 5.405429 -2.214 0.027007 *
## F1$Row30 -12.043750 5.405429 -2.228 0.026043 *
## F1$Row31 -6.680000 3.992174 -1.673 0.094511 .
## F1$Row32 0.202917 5.405429 0.038 0.970061
## F1$Row33 -7.743750 5.405429 -1.433 0.152213
## F1$Row34 7.719583 5.405429 1.428 0.153496
## F1$Row35 -4.361250 4.889394 -0.892 0.372566
## F1$Row36 1.686250 5.405429 0.312 0.755124
## F1$Row37 -5.297083 5.405429 -0.980 0.327288
## F1$Row38 -0.503750 6.312181 -0.080 0.936404
## F1$Row39 -1.397083 5.405429 -0.258 0.796093
## F1$Row4 -0.796250 4.889394 -0.163 0.870660
## F1$Row40 -13.127083 5.405429 -2.428 0.015295 *
## F1$Row41 4.888750 4.889394 1.000 0.317558
## F1$Row42 6.082917 5.405429 1.125 0.260653
## F1$Row43 -8.560417 5.405429 -1.584 0.113509
## F1$Row44 3.676250 6.312181 0.582 0.560393
## F1$Row45 -5.997083 5.405429 -1.109 0.267437
## F1$Row46 -9.583750 6.312181 -1.518 0.129181
## F1$Row47 -5.813750 5.405429 -1.076 0.282331
## F1$Row48 0.779583 5.405429 0.144 0.885347
## F1$Row49 3.936250 5.405429 0.728 0.466619
## F1$Row5 -6.787083 5.405429 -1.256 0.209482
## F1$Row50 1.607500 3.992174 0.403 0.687262
## F1$Row6 -2.567083 5.405429 -0.475 0.634931
## F1$Row7 -15.320417 5.405429 -2.834 0.004663 **
## F1$Row8 -6.450417 5.405429 -1.193 0.232959
## F1$Row9 1.079583 5.405429 0.200 0.841729
## F1$HeightL:F1$Column2 5.772083 7.227685 0.799 0.424662
## F1$HeightM:F1$Column2 15.067361 7.227685 2.085 0.037292 *
## F1$HeightL:F1$Column3 8.529583 7.227685 1.180 0.238163
## F1$HeightM:F1$Column3 5.849861 7.227685 0.809 0.418450
## F1$HeightL:F1$Column4 9.524917 7.539468 1.263 0.206691
## F1$HeightM:F1$Column4 10.281012 7.366358 1.396 0.163049
## F1$HeightL:F1$Row10 -0.161250 6.850324 -0.024 0.981224
## F1$HeightM:F1$Row10 2.375694 7.227685 0.329 0.742440
## F1$HeightL:F1$Row11 15.395750 5.421784 2.840 0.004586 **
## F1$HeightM:F1$Row11 10.742639 5.486718 1.958 0.050449 .
## F1$HeightL:F1$Row12 -0.244583 7.227685 -0.034 0.973010
## F1$HeightM:F1$Row12 -8.066806 7.227685 -1.116 0.264584
## F1$HeightL:F1$Row13 1.561250 7.928707 0.197 0.843928
## F1$HeightM:F1$Row13 3.031528 7.928707 0.382 0.702265
## F1$HeightL:F1$Row14 0.212917 7.227685 0.029 0.976503
## F1$HeightM:F1$Row14 2.635694 7.227685 0.365 0.715419
## F1$HeightL:F1$Row15 -3.565417 7.227685 -0.493 0.621883
## F1$HeightM:F1$Row15 -4.180139 7.227685 -0.578 0.563126
## F1$HeightL:F1$Row16 10.747083 8.256929 1.302 0.193287
## F1$HeightM:F1$Row16 2.031528 7.586297 0.268 0.788904
## F1$HeightL:F1$Row17 -9.015000 8.624081 -1.045 0.296063
## F1$HeightM:F1$Row17 -3.145000 8.624081 -0.365 0.715412
## F1$HeightL:F1$Row18 12.781250 7.227685 1.768 0.077230 .
## F1$HeightM:F1$Row18 10.196528 7.227685 1.411 0.158552
## F1$HeightL:F1$Row19 11.615417 7.227685 1.607 0.108278
## F1$HeightM:F1$Row19 15.070694 7.227685 2.085 0.037250 *
## F1$HeightL:F1$Row2 7.403750 7.227685 1.024 0.305854
## F1$HeightM:F1$Row2 4.241528 7.227685 0.587 0.557409
## F1$HeightL:F1$Row20 10.281250 7.227685 1.422 0.155124
## F1$HeightM:F1$Row20 8.886528 7.227685 1.230 0.219100
## F1$HeightL:F1$Row21 13.646250 6.450927 2.115 0.034584 *
## F1$HeightM:F1$Row21 7.772028 6.613581 1.175 0.240143
## F1$HeightL:F1$Row22 22.003750 7.227685 3.044 0.002378 **
## F1$HeightM:F1$Row22 15.941528 7.227685 2.206 0.027583 *
## F1$HeightL:F1$Row23 8.792083 7.227685 1.216 0.224034
## F1$HeightM:F1$Row23 2.351528 7.586297 0.310 0.756633
## F1$HeightL:F1$Row24 13.237083 7.227685 1.831 0.067261 .
## F1$HeightM:F1$Row24 12.750861 7.003709 1.821 0.068897 .
## F1$HeightL:F1$Row25 10.834583 7.227685 1.499 0.134103
## F1$HeightM:F1$Row25 15.042361 7.227685 2.081 0.037607 *
## F1$HeightL:F1$Row26 0.746250 7.928707 0.094 0.925028
## F1$HeightM:F1$Row26 1.641528 7.928707 0.207 0.836014
## F1$HeightL:F1$Row27 11.096250 7.227685 1.535 0.124965
## F1$HeightM:F1$Row27 -0.125972 7.227685 -0.017 0.986097
## F1$HeightL:F1$Row28 17.293750 7.227685 2.393 0.016864 *
## F1$HeightM:F1$Row28 13.296528 7.227685 1.840 0.066043 .
## F1$HeightL:F1$Row29 4.722083 7.227685 0.653 0.513656
## F1$HeightM:F1$Row29 -0.621806 7.586297 -0.082 0.934688
## F1$HeightL:F1$Row3 6.162083 7.227685 0.853 0.394055
## F1$HeightM:F1$Row3 17.099861 7.227685 2.366 0.018131 *
## F1$HeightL:F1$Row30 18.196250 7.227685 2.518 0.011935 *
## F1$HeightM:F1$Row30 17.901528 7.586297 2.360 0.018434 *
## F1$HeightL:F1$Row31 7.422857 5.668146 1.310 0.190569
## F1$HeightM:F1$Row31 3.024444 5.800494 0.521 0.602168
## F1$HeightL:F1$Row32 9.587083 7.227685 1.326 0.184925
## F1$HeightM:F1$Row32 0.804861 7.227685 0.111 0.911349
## F1$HeightL:F1$Row33 7.931250 7.227685 1.097 0.272692
## F1$HeightM:F1$Row33 8.059028 7.227685 1.115 0.265045
## F1$HeightL:F1$Row34 -11.029583 7.227685 -1.526 0.127246
## F1$HeightM:F1$Row34 -6.571806 7.227685 -0.909 0.363382
## F1$HeightL:F1$Row35 10.778750 6.850324 1.573 0.115852
## F1$HeightM:F1$Row35 4.981528 6.850324 0.727 0.467235
## F1$HeightL:F1$Row36 12.157083 7.586297 1.603 0.109284
## F1$HeightM:F1$Row36 2.874028 7.227685 0.398 0.690959
## F1$HeightL:F1$Row37 7.947083 7.586297 1.048 0.295035
## F1$HeightM:F1$Row37 7.164861 7.227685 0.991 0.321718
## F1$HeightL:F1$Row38 4.078750 7.928707 0.514 0.607039
## F1$HeightM:F1$Row38 -6.048472 7.928707 -0.763 0.445685
## F1$HeightL:F1$Row39 7.824583 7.227685 1.083 0.279191
## F1$HeightM:F1$Row39 5.559861 7.227685 0.769 0.441886
## F1$HeightL:F1$Row4 5.716250 6.850324 0.834 0.404179
## F1$HeightM:F1$Row4 2.004028 7.227685 0.277 0.781616
## F1$HeightL:F1$Row40 21.017083 7.227685 2.908 0.003700 **
## F1$HeightM:F1$Row40 19.322361 7.227685 2.673 0.007602 **
## F1$HeightL:F1$Row41 -1.774464 6.332188 -0.280 0.779346
## F1$HeightM:F1$Row41 -2.455972 6.450927 -0.381 0.703475
## F1$HeightL:F1$Row42 -7.309583 7.586297 -0.964 0.335462
## F1$HeightM:F1$Row42 1.092861 7.003709 0.156 0.876025
## F1$HeightL:F1$Row43 10.280417 7.227685 1.422 0.155157
## F1$HeightM:F1$Row43 10.205694 7.227685 1.412 0.158178
## F1$HeightL:F1$Row44 18.061250 7.928707 2.278 0.022889 *
## F1$HeightM:F1$Row44 2.931528 7.928707 0.370 0.711639
## F1$HeightL:F1$Row45 6.409583 7.227685 0.887 0.375343
## F1$HeightM:F1$Row45 13.377361 7.227685 1.851 0.064415 .
## F1$HeightL:F1$Row46 16.377083 8.256929 1.983 0.047527 *
## F1$HeightM:F1$Row46 20.677528 7.725083 2.677 0.007528 **
## F1$HeightL:F1$Row47 13.731250 7.227685 1.900 0.057676 .
## F1$HeightM:F1$Row47 10.871528 7.227685 1.504 0.132783
## F1$HeightL:F1$Row48 13.610417 7.227685 1.883 0.059908 .
## F1$HeightM:F1$Row48 5.905694 7.227685 0.817 0.414023
## F1$HeightL:F1$Row49 -0.356250 7.227685 -0.049 0.960696
## F1$HeightM:F1$Row49 -0.015972 7.227685 -0.002 0.998237
## F1$HeightL:F1$Row5 10.673750 7.586297 1.407 0.159670
## F1$HeightM:F1$Row5 -0.520139 7.227685 -0.072 0.942641
## F1$HeightL:F1$Row50 -0.394500 5.421784 -0.073 0.942007
## F1$HeightM:F1$Row50 7.998849 5.668146 1.411 0.158424
## F1$HeightL:F1$Row6 7.232083 7.227685 1.001 0.317200
## F1$HeightM:F1$Row6 -1.265139 7.227685 -0.175 0.861075
## F1$HeightL:F1$Row7 17.630417 7.227685 2.439 0.014848 *
## F1$HeightM:F1$Row7 17.530694 7.227685 2.425 0.015422 *
## F1$HeightL:F1$Row8 8.607917 7.227685 1.191 0.233882
## F1$HeightM:F1$Row8 6.845694 7.227685 0.947 0.343737
## F1$HeightL:F1$Row9 6.242917 7.227685 0.864 0.387882
## F1$HeightM:F1$Row9 5.253194 7.227685 0.727 0.467468
## F1$Column2:F1$Row10 -5.125417 8.148991 -0.629 0.529482
## F1$Column3:F1$Row10 8.011250 8.148991 0.983 0.325740
## F1$Column4:F1$Row10 NA NA NA NA
## F1$Column2:F1$Row11 9.953750 7.644431 1.302 0.193113
## F1$Column3:F1$Row11 16.153750 7.644431 2.113 0.034777 *
## F1$Column4:F1$Row11 NA NA NA NA
## F1$Column2:F1$Row12 -5.376250 8.468679 -0.635 0.525644
## F1$Column3:F1$Row12 -3.999583 8.468679 -0.472 0.636806
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## F1$HeightM:F1$Column4:F1$Row29 NA NA NA NA
## F1$HeightL:F1$Column2:F1$Row3 -17.832083 11.252297 -1.585 0.113263
## F1$HeightM:F1$Column2:F1$Row3 -39.024861 11.252297 -3.468 0.000541 ***
## F1$HeightL:F1$Column3:F1$Row3 -20.448750 11.252297 -1.817 0.069399 .
## F1$HeightM:F1$Column3:F1$Row3 -24.189028 11.252297 -2.150 0.031761 *
## F1$HeightL:F1$Column4:F1$Row3 NA NA NA NA
## F1$HeightM:F1$Column4:F1$Row3 NA NA NA NA
## F1$HeightL:F1$Column2:F1$Row30 -13.187917 11.485934 -1.148 0.251103
## F1$HeightM:F1$Column2:F1$Row30 -24.650694 11.714912 -2.104 0.035549 *
## F1$HeightL:F1$Column3:F1$Row30 -19.326250 11.252297 -1.718 0.086116 .
## F1$HeightM:F1$Column3:F1$Row30 -21.926528 11.485934 -1.909 0.056481 .
## F1$HeightL:F1$Column4:F1$Row30 NA NA NA NA
## F1$HeightM:F1$Column4:F1$Row30 NA NA NA NA
## F1$HeightL:F1$Column2:F1$Row31 -0.430357 10.320012 -0.042 0.966743
## F1$HeightM:F1$Column2:F1$Row31 -13.436944 10.393291 -1.293 0.196291
## F1$HeightL:F1$Column3:F1$Row31 -2.589524 10.320012 -0.251 0.801913
## F1$HeightM:F1$Column3:F1$Row31 -6.141111 10.393291 -0.591 0.554707
## F1$HeightL:F1$Column4:F1$Row31 NA NA NA NA
## F1$HeightM:F1$Column4:F1$Row31 NA NA NA NA
## F1$HeightL:F1$Column2:F1$Row32 -6.439583 11.252297 -0.572 0.567223
## F1$HeightM:F1$Column2:F1$Row32 -15.554861 11.252297 -1.382 0.167092
## F1$HeightL:F1$Column3:F1$Row32 -5.851250 11.252297 -0.520 0.603148
## F1$HeightM:F1$Column3:F1$Row32 -3.241528 11.252297 -0.288 0.773333
## F1$HeightL:F1$Column4:F1$Row32 -14.097417 11.455058 -1.231 0.218666
## F1$HeightM:F1$Column4:F1$Row32 -3.871012 11.341869 -0.341 0.732930
## F1$HeightL:F1$Column2:F1$Row33 0.672917 11.252297 0.060 0.952322
## F1$HeightM:F1$Column2:F1$Row33 -5.552361 11.252297 -0.493 0.621782
## F1$HeightL:F1$Column3:F1$Row33 -15.796250 11.252297 -1.404 0.160607
## F1$HeightM:F1$Column3:F1$Row33 -17.544028 11.252297 -1.559 0.119201
## F1$HeightL:F1$Column4:F1$Row33 NA NA NA NA
## F1$HeightM:F1$Column4:F1$Row33 NA NA NA NA
## F1$HeightL:F1$Column2:F1$Row34 4.596250 11.252297 0.408 0.682994
## F1$HeightM:F1$Column2:F1$Row34 0.108472 11.252297 0.010 0.992310
## F1$HeightL:F1$Column3:F1$Row34 11.665417 11.252297 1.037 0.300060
## F1$HeightM:F1$Column3:F1$Row34 11.957639 11.252297 1.063 0.288120
## F1$HeightL:F1$Column4:F1$Row34 19.500083 11.455058 1.702 0.088933 .
## F1$HeightM:F1$Column4:F1$Row34 10.711488 11.341869 0.944 0.345129
## F1$HeightL:F1$Column2:F1$Row35 -0.685417 11.013706 -0.062 0.950387
## F1$HeightM:F1$Column2:F1$Row35 -6.465694 11.013706 -0.587 0.557265
## F1$HeightL:F1$Column3:F1$Row35 -11.051250 11.013706 -1.003 0.315848
## F1$HeightM:F1$Column3:F1$Row35 -11.244028 11.013706 -1.021 0.307484
## F1$HeightL:F1$Column4:F1$Row35 -2.009917 11.220778 -0.179 0.857868
## F1$HeightM:F1$Column4:F1$Row35 3.471488 11.105202 0.313 0.754634
## F1$HeightL:F1$Column2:F1$Row36 -12.072917 11.485934 -1.051 0.293404
## F1$HeightM:F1$Column2:F1$Row36 -15.149861 11.252297 -1.346 0.178412
## F1$HeightL:F1$Column3:F1$Row36 -8.041250 11.485934 -0.700 0.483992
## F1$HeightM:F1$Column3:F1$Row36 5.374306 11.252297 0.478 0.633001
## F1$HeightL:F1$Column4:F1$Row36 NA NA NA NA
## F1$HeightM:F1$Column4:F1$Row36 NA NA NA NA
## F1$HeightL:F1$Column2:F1$Row37 -5.012083 11.485934 -0.436 0.662642
## F1$HeightM:F1$Column2:F1$Row37 -6.267361 11.252297 -0.557 0.577632
## F1$HeightL:F1$Column3:F1$Row37 1.328750 11.485934 0.116 0.907920
## F1$HeightM:F1$Column3:F1$Row37 5.548472 11.252297 0.493 0.622026
## F1$HeightL:F1$Column4:F1$Row37 NA NA NA NA
## F1$HeightM:F1$Column4:F1$Row37 NA NA NA NA
## F1$HeightL:F1$Column2:F1$Row38 4.765417 11.485934 0.415 0.678289
## F1$HeightM:F1$Column2:F1$Row38 4.029306 11.714912 0.344 0.730941
## F1$HeightL:F1$Column3:F1$Row38 -5.596250 11.714912 -0.478 0.632941
## F1$HeightM:F1$Column3:F1$Row38 12.216806 11.939499 1.023 0.306389
## F1$HeightL:F1$Column4:F1$Row38 NA NA NA NA
## F1$HeightM:F1$Column4:F1$Row38 NA NA NA NA
## F1$HeightL:F1$Column2:F1$Row39 7.585417 11.252297 0.674 0.500352
## F1$HeightM:F1$Column2:F1$Row39 3.715139 11.252297 0.330 0.741326
## F1$HeightL:F1$Column3:F1$Row39 -12.134583 11.252297 -1.078 0.281049
## F1$HeightM:F1$Column3:F1$Row39 -21.382361 11.252297 -1.900 0.057617 .
## F1$HeightL:F1$Column4:F1$Row39 NA NA NA NA
## F1$HeightM:F1$Column4:F1$Row39 NA NA NA NA
## F1$HeightL:F1$Column2:F1$Row4 1.435417 11.013706 0.130 0.896325
## F1$HeightM:F1$Column2:F1$Row4 -5.969861 11.252297 -0.531 0.595823
## F1$HeightL:F1$Column3:F1$Row4 -3.116250 11.013706 -0.283 0.777265
## F1$HeightM:F1$Column3:F1$Row4 7.578472 11.252297 0.674 0.500745
## F1$HeightL:F1$Column4:F1$Row4 NA NA NA NA
## F1$HeightM:F1$Column4:F1$Row4 NA NA NA NA
## F1$HeightL:F1$Column2:F1$Row40 -26.921250 11.252297 -2.393 0.016873 *
## F1$HeightM:F1$Column2:F1$Row40 -37.139028 11.252297 -3.301 0.000991 ***
## F1$HeightL:F1$Column3:F1$Row40 -24.474583 11.252297 -2.175 0.029802 *
## F1$HeightM:F1$Column3:F1$Row40 -20.614861 11.252297 -1.832 0.067169 .
## F1$HeightL:F1$Column4:F1$Row40 NA NA NA NA
## F1$HeightM:F1$Column4:F1$Row40 NA NA NA NA
## F1$HeightL:F1$Column2:F1$Row41 3.948631 10.699130 0.369 0.712142
## F1$HeightM:F1$Column2:F1$Row41 -6.604861 10.769830 -0.613 0.539801
## F1$HeightL:F1$Column3:F1$Row41 -1.443869 10.699130 -0.135 0.892670
## F1$HeightM:F1$Column3:F1$Row41 3.757639 10.769830 0.349 0.727217
## F1$HeightL:F1$Column4:F1$Row41 1.626631 11.619509 0.140 0.888688
## F1$HeightM:F1$Column4:F1$Row41 6.849821 11.573698 0.592 0.554057
## F1$HeightL:F1$Column2:F1$Row42 9.189583 11.485934 0.800 0.423813
## F1$HeightM:F1$Column2:F1$Row42 -13.662861 11.109757 -1.230 0.218989
## F1$HeightL:F1$Column3:F1$Row42 0.673750 11.485934 0.059 0.953233
## F1$HeightM:F1$Column3:F1$Row42 -10.573694 11.109757 -0.952 0.341399
## F1$HeightL:F1$Column4:F1$Row42 NA NA NA NA
## F1$HeightM:F1$Column4:F1$Row42 NA NA NA NA
## F1$HeightL:F1$Column2:F1$Row43 -1.893750 11.252297 -0.168 0.866374
## F1$HeightM:F1$Column2:F1$Row43 -15.071528 11.252297 -1.339 0.180666
## F1$HeightL:F1$Column3:F1$Row43 -4.338750 11.714912 -0.370 0.711173
## F1$HeightM:F1$Column3:F1$Row43 -7.607361 11.939499 -0.637 0.524132
## F1$HeightL:F1$Column4:F1$Row43 NA NA NA NA
## F1$HeightM:F1$Column4:F1$Row43 NA NA NA NA
## F1$HeightL:F1$Column2:F1$Row44 -19.709583 11.714912 -1.682 0.092722 .
## F1$HeightM:F1$Column2:F1$Row44 -11.924861 11.714912 -1.018 0.308902
## F1$HeightL:F1$Column3:F1$Row44 -21.865417 11.714912 -1.866 0.062199 .
## F1$HeightM:F1$Column3:F1$Row44 3.739306 11.714912 0.319 0.749632
## F1$HeightL:F1$Column4:F1$Row44 NA NA NA NA
## F1$HeightM:F1$Column4:F1$Row44 NA NA NA NA
## F1$HeightL:F1$Column2:F1$Row45 -6.447083 11.252297 -0.573 0.566772
## F1$HeightM:F1$Column2:F1$Row45 -24.534861 11.252297 -2.180 0.029402 *
## F1$HeightL:F1$Column3:F1$Row45 4.171250 11.252297 0.371 0.710919
## F1$HeightM:F1$Column3:F1$Row45 -9.065694 11.485934 -0.789 0.430087
## F1$HeightL:F1$Column4:F1$Row45 -12.226583 11.455058 -1.067 0.286009
## F1$HeightM:F1$Column4:F1$Row45 -24.765179 11.341869 -2.184 0.029174 *
## F1$HeightL:F1$Column2:F1$Row46 -23.025417 11.939499 -1.929 0.054007 .
## F1$HeightM:F1$Column2:F1$Row46 -36.650861 11.578069 -3.166 0.001583 **
## F1$HeightL:F1$Column3:F1$Row46 -23.469583 11.939499 -1.966 0.049542 *
## F1$HeightM:F1$Column3:F1$Row46 -26.830028 11.578069 -2.317 0.020640 *
## F1$HeightL:F1$Column4:F1$Row46 -26.380750 12.130779 -2.175 0.029831 *
## F1$HeightM:F1$Column4:F1$Row46 -27.869512 11.665139 -2.389 0.017029 *
## F1$HeightL:F1$Column2:F1$Row47 -21.743750 11.252297 -1.932 0.053527 .
## F1$HeightM:F1$Column2:F1$Row47 -23.869028 11.252297 -2.121 0.034087 *
## F1$HeightL:F1$Column3:F1$Row47 -13.072083 11.013706 -1.187 0.235484
## F1$HeightM:F1$Column3:F1$Row47 -29.756528 11.252297 -2.644 0.008279 **
## F1$HeightL:F1$Column4:F1$Row47 -17.229083 11.684641 -1.475 0.140585
## F1$HeightM:F1$Column4:F1$Row47 -10.169345 11.341869 -0.897 0.370086
## F1$HeightL:F1$Column2:F1$Row48 -13.358750 11.714912 -1.140 0.254361
## F1$HeightM:F1$Column2:F1$Row48 -16.859028 11.714912 -1.439 0.150358
## F1$HeightL:F1$Column3:F1$Row48 -17.395750 10.868037 -1.601 0.109698
## F1$HeightM:F1$Column3:F1$Row48 -1.934861 11.252297 -0.172 0.863501
## F1$HeightL:F1$Column4:F1$Row48 NA NA NA NA
## F1$HeightM:F1$Column4:F1$Row48 NA NA NA NA
## F1$HeightL:F1$Column2:F1$Row49 6.746250 11.252297 0.600 0.548913
## F1$HeightM:F1$Column2:F1$Row49 -1.881528 11.252297 -0.167 0.867228
## F1$HeightL:F1$Column3:F1$Row49 11.660417 11.252297 1.036 0.300267
## F1$HeightM:F1$Column3:F1$Row49 6.777639 11.252297 0.602 0.547056
## F1$HeightL:F1$Column4:F1$Row49 6.511750 11.455058 0.568 0.569819
## F1$HeightM:F1$Column4:F1$Row49 2.095655 11.341869 0.185 0.853437
## F1$HeightL:F1$Column2:F1$Row5 -6.924583 11.485934 -0.603 0.546696
## F1$HeightM:F1$Column2:F1$Row5 -7.128194 11.252297 -0.633 0.526525
## F1$HeightL:F1$Column3:F1$Row5 -22.312083 11.485934 -1.943 0.052283 .
## F1$HeightM:F1$Column3:F1$Row5 -5.790694 11.252297 -0.515 0.606903
## F1$HeightL:F1$Column4:F1$Row5 NA NA NA NA
## F1$HeightM:F1$Column4:F1$Row5 NA NA NA NA
## F1$HeightL:F1$Column2:F1$Row50 -3.527167 10.186781 -0.346 0.729211
## F1$HeightM:F1$Column2:F1$Row50 -20.400516 10.320012 -1.977 0.048274 *
## F1$HeightL:F1$Column3:F1$Row50 7.462000 10.186781 0.733 0.463983
## F1$HeightM:F1$Column3:F1$Row50 0.296151 10.320012 0.029 0.977111
## F1$HeightL:F1$Column4:F1$Row50 NA NA NA NA
## F1$HeightM:F1$Column4:F1$Row50 NA NA NA NA
## F1$HeightL:F1$Column2:F1$Row6 -17.895417 11.252297 -1.590 0.111990
## F1$HeightM:F1$Column2:F1$Row6 -20.208194 11.252297 -1.796 0.072737 .
## F1$HeightL:F1$Column3:F1$Row6 -20.869583 11.252297 -1.855 0.063863 .
## F1$HeightM:F1$Column3:F1$Row6 -1.872361 11.252297 -0.166 0.867869
## F1$HeightL:F1$Column4:F1$Row6 NA NA NA NA
## F1$HeightM:F1$Column4:F1$Row6 NA NA NA NA
## F1$HeightL:F1$Column2:F1$Row7 -3.741250 11.252297 -0.332 0.739574
## F1$HeightM:F1$Column2:F1$Row7 -26.421528 11.252297 -2.348 0.019017 *
## F1$HeightL:F1$Column3:F1$Row7 -22.672083 11.252297 -2.015 0.044120 *
## F1$HeightM:F1$Column3:F1$Row7 -13.089861 11.252297 -1.163 0.244917
## F1$HeightL:F1$Column4:F1$Row7 NA NA NA NA
## F1$HeightM:F1$Column4:F1$Row7 NA NA NA NA
## F1$HeightL:F1$Column2:F1$Row8 -19.088750 11.252297 -1.696 0.090041 .
## F1$HeightM:F1$Column2:F1$Row8 -18.454028 11.252297 -1.640 0.101240
## F1$HeightL:F1$Column3:F1$Row8 -0.348750 11.252297 -0.031 0.975279
## F1$HeightM:F1$Column3:F1$Row8 0.963472 11.252297 0.086 0.931778
## F1$HeightL:F1$Column4:F1$Row8 NA NA NA NA
## F1$HeightM:F1$Column4:F1$Row8 NA NA NA NA
## F1$HeightL:F1$Column2:F1$Row9 -4.826250 11.252297 -0.429 0.668057
## F1$HeightM:F1$Column2:F1$Row9 -7.944028 11.252297 -0.706 0.480318
## F1$HeightL:F1$Column3:F1$Row9 2.011250 11.013706 0.183 0.855130
## F1$HeightM:F1$Column3:F1$Row9 -0.136528 11.013706 -0.012 0.990111
## F1$HeightL:F1$Column4:F1$Row9 NA NA NA NA
## F1$HeightM:F1$Column4:F1$Row9 NA NA NA NA
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 7.984 on 1315 degrees of freedom
## Multiple R-squared: 0.3458, Adjusted R-squared: 0.109
## F-statistic: 1.46 on 476 and 1315 DF, p-value: 1.278e-07
## Analysis of Variance Table
##
## Response: F1$NBI
## Df Sum Sq Mean Sq F value Pr(>F)
## F1$Row 49 7866 160.527 2.3456 6.383e-07 ***
## F1$Column 3 789 263.021 3.8432 0.00934 **
## F1$Row:F1$Column 106 7724 72.864 1.0647 0.31303
## Residuals 1633 111761 68.439
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Call:
## lm(formula = F1$NBI ~ F1$Row * F1$Column)
##
## Residuals:
## Min 1Q Median 3Q Max
## -25.7290 -5.3466 0.4336 5.5032 28.5864
##
## Coefficients: (41 not defined because of singularities)
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 16.21731 1.62242 9.996 < 2e-16 ***
## F1$Row10 -2.13094 2.97556 -0.716 0.474002
## F1$Row11 -2.72175 2.27311 -1.197 0.231336
## F1$Row12 1.23997 2.97556 0.417 0.676941
## F1$Row13 2.90169 3.07833 0.943 0.346016
## F1$Row14 -2.14185 2.97556 -0.720 0.471742
## F1$Row15 2.13906 2.97556 0.719 0.472321
## F1$Row16 0.39019 3.34471 0.117 0.907144
## F1$Row17 1.39818 3.52752 0.396 0.691889
## F1$Row18 -0.85549 2.97556 -0.288 0.773762
## F1$Row19 4.36633 2.97556 1.467 0.142461
## F1$Row2 -2.39640 2.97556 -0.805 0.420729
## F1$Row20 0.32906 2.97556 0.111 0.911958
## F1$Row21 4.63803 2.68232 1.729 0.083979 .
## F1$Row22 3.47724 2.97556 1.169 0.242736
## F1$Row23 -2.36131 3.07833 -0.767 0.443149
## F1$Row24 3.26853 2.88713 1.132 0.257757
## F1$Row25 -1.31458 2.97556 -0.442 0.658698
## F1$Row26 -3.22531 3.07833 -1.048 0.294911
## F1$Row27 -0.56185 2.97556 -0.189 0.850255
## F1$Row28 5.34269 2.97556 1.796 0.072755 .
## F1$Row29 -2.97131 3.07833 -0.965 0.334571
## F1$Row3 -3.75549 2.97556 -1.262 0.207089
## F1$Row30 0.46869 3.07833 0.152 0.879004
## F1$Row31 -2.86255 2.42719 -1.179 0.238424
## F1$Row32 3.73451 2.97556 1.255 0.209636
## F1$Row33 -2.17640 2.97556 -0.731 0.464625
## F1$Row34 1.07178 2.97556 0.360 0.718748
## F1$Row35 1.07353 2.88713 0.372 0.710066
## F1$Row36 6.51069 3.07833 2.115 0.034581 *
## F1$Row37 -0.01931 3.07833 -0.006 0.994996
## F1$Row38 -2.05331 3.07833 -0.667 0.504854
## F1$Row39 3.22269 2.97556 1.083 0.278945
## F1$Row4 2.14997 2.97556 0.723 0.470065
## F1$Row40 1.29451 2.97556 0.435 0.663585
## F1$Row41 2.73093 2.58032 1.058 0.290045
## F1$Row42 4.48815 2.97556 1.508 0.131662
## F1$Row43 -1.35822 2.97556 -0.456 0.648122
## F1$Row44 11.31169 3.07833 3.675 0.000246 ***
## F1$Row45 0.95087 2.97556 0.320 0.749342
## F1$Row46 5.07069 3.07833 1.647 0.099705 .
## F1$Row47 2.88542 2.97556 0.970 0.332337
## F1$Row48 7.62906 2.97556 2.564 0.010439 *
## F1$Row49 3.55360 2.97556 1.194 0.232549
## F1$Row5 -3.76531 3.07833 -1.223 0.221444
## F1$Row50 3.67789 2.31729 1.587 0.112671
## F1$Row6 -0.64458 2.97556 -0.217 0.828528
## F1$Row7 -2.78185 2.97556 -0.935 0.349978
## F1$Row8 -1.07822 2.97556 -0.362 0.717132
## F1$Row9 5.01269 2.97556 1.685 0.092253 .
## F1$Column2 3.72360 2.97556 1.251 0.210970
## F1$Column3 0.86451 2.97556 0.291 0.771442
## F1$Column4 3.21380 3.09539 1.038 0.299305
## F1$Row10:F1$Column2 -3.16097 4.68183 -0.675 0.499672
## F1$Row11:F1$Column2 -1.12370 4.19648 -0.268 0.788908
## F1$Row12:F1$Column2 -0.84724 4.61491 -0.184 0.854360
## F1$Row13:F1$Column2 -6.03351 4.68183 -1.289 0.197682
## F1$Row14:F1$Column2 0.81458 4.61491 0.177 0.859915
## F1$Row15:F1$Column2 -3.35542 4.61491 -0.727 0.467280
## F1$Row16:F1$Column2 -6.20383 4.86112 -1.276 0.202062
## F1$Row17:F1$Column2 -5.53273 4.98867 -1.109 0.267568
## F1$Row18:F1$Column2 2.34094 4.61491 0.507 0.612043
## F1$Row19:F1$Column2 -2.65542 4.61491 -0.575 0.565100
## F1$Row2:F1$Column2 0.58549 4.61491 0.127 0.899060
## F1$Row20:F1$Column2 -3.58815 4.26457 -0.841 0.400255
## F1$Row21:F1$Column2 -5.77439 4.43151 -1.303 0.192748
## F1$Row22:F1$Column2 0.08185 4.61491 0.018 0.985851
## F1$Row23:F1$Column2 0.20767 4.68183 0.044 0.964625
## F1$Row24:F1$Column2 -0.33543 4.62613 -0.073 0.942206
## F1$Row25:F1$Column2 -2.50542 4.61491 -0.543 0.587275
## F1$Row26:F1$Column2 4.80440 4.74781 1.012 0.311727
## F1$Row27:F1$Column2 1.70822 4.61491 0.370 0.711317
## F1$Row28:F1$Column2 -3.93633 4.61491 -0.853 0.393807
## F1$Row29:F1$Column2 1.83290 4.62613 0.396 0.692005
## F1$Row3:F1$Column2 -4.26087 4.61491 -0.923 0.355995
## F1$Row30:F1$Column2 -1.82516 4.82723 -0.378 0.705408
## F1$Row31:F1$Column2 2.94891 4.28190 0.689 0.491115
## F1$Row32:F1$Column2 -5.72360 4.61491 -1.240 0.215064
## F1$Row33:F1$Column2 4.86003 4.61491 1.053 0.292444
## F1$Row34:F1$Column2 0.97185 4.61491 0.211 0.833234
## F1$Row35:F1$Column2 -2.77625 4.55839 -0.609 0.542581
## F1$Row36:F1$Column2 -3.95069 4.68183 -0.844 0.398885
## F1$Row37:F1$Column2 -2.07706 4.68183 -0.444 0.657360
## F1$Row38:F1$Column2 1.77058 4.68183 0.378 0.705345
## F1$Row39:F1$Column2 -4.25633 4.61491 -0.922 0.356509
## F1$Row4:F1$Column2 -4.83815 4.61491 -1.048 0.294622
## F1$Row40:F1$Column2 -2.33360 4.61491 -0.506 0.613160
## F1$Row41:F1$Column2 -2.06184 4.37052 -0.472 0.637161
## F1$Row42:F1$Column2 -4.46542 4.61491 -0.968 0.333384
## F1$Row43:F1$Column2 2.09185 4.61491 0.453 0.650406
## F1$Row44:F1$Column2 -10.44806 4.68183 -2.232 0.025776 *
## F1$Row45:F1$Column2 2.91822 4.61491 0.632 0.527250
## F1$Row46:F1$Column2 -2.01342 4.68183 -0.430 0.667216
## F1$Row47:F1$Column2 -6.17542 4.61491 -1.338 0.181035
## F1$Row48:F1$Column2 -9.14297 4.68183 -1.953 0.051007 .
## F1$Row49:F1$Column2 -7.35997 4.61491 -1.595 0.110945
## F1$Row5:F1$Column2 -3.60924 4.68183 -0.771 0.440876
## F1$Row50:F1$Column2 -7.99698 4.22057 -1.895 0.058300 .
## F1$Row6:F1$Column2 -6.23815 4.61491 -1.352 0.176646
## F1$Row7:F1$Column2 -0.94724 4.61491 -0.205 0.837398
## F1$Row8:F1$Column2 -3.42087 4.61491 -0.741 0.458639
## F1$Row9:F1$Column2 -8.33269 4.61491 -1.806 0.071164 .
## F1$Row10:F1$Column3 3.32913 4.61491 0.721 0.470776
## F1$Row11:F1$Column3 3.15630 4.19648 0.752 0.452081
## F1$Row12:F1$Column3 0.08922 4.68183 0.019 0.984799
## F1$Row13:F1$Column3 -3.47476 4.92470 -0.706 0.480551
## F1$Row14:F1$Column3 6.19094 4.61491 1.342 0.179942
## F1$Row15:F1$Column3 1.07094 4.61491 0.232 0.816519
## F1$Row16:F1$Column3 -2.05656 4.86112 -0.423 0.672306
## F1$Row17:F1$Column3 NA NA NA NA
## F1$Row18:F1$Column3 6.51867 4.86112 1.341 0.180113
## F1$Row19:F1$Column3 0.03640 4.61491 0.008 0.993708
## F1$Row2:F1$Column3 3.00549 4.61491 0.651 0.514972
## F1$Row20:F1$Column3 -1.60360 4.61491 -0.347 0.728273
## F1$Row21:F1$Column3 -3.81439 4.43151 -0.861 0.389506
## F1$Row22:F1$Column3 1.16094 4.61491 0.252 0.801410
## F1$Row23:F1$Column3 0.70131 4.68183 0.150 0.880946
## F1$Row24:F1$Column3 3.47784 4.55839 0.763 0.445601
## F1$Row25:F1$Column3 6.52094 4.61491 1.413 0.157841
## F1$Row26:F1$Column3 5.71531 4.68183 1.221 0.222360
## F1$Row27:F1$Column3 4.87303 4.68183 1.041 0.298104
## F1$Row28:F1$Column3 -4.14542 4.61491 -0.898 0.369176
## F1$Row29:F1$Column3 3.23549 4.74781 0.681 0.495671
## F1$Row3:F1$Column3 5.80913 4.61491 1.259 0.208292
## F1$Row30:F1$Column3 -2.23324 4.68183 -0.477 0.633425
## F1$Row31:F1$Column3 4.35345 4.28190 1.017 0.309441
## F1$Row32:F1$Column3 -2.65542 4.61491 -0.575 0.565100
## F1$Row33:F1$Column3 2.85731 4.61491 0.619 0.535906
## F1$Row34:F1$Column3 0.46458 4.61491 0.101 0.919825
## F1$Row35:F1$Column3 -0.61989 4.55839 -0.136 0.891847
## F1$Row36:F1$Column3 -3.37797 4.68183 -0.722 0.470702
## F1$Row37:F1$Column3 1.89203 4.68183 0.404 0.686175
## F1$Row38:F1$Column3 4.88549 4.74781 1.029 0.303633
## F1$Row39:F1$Column3 -1.53360 4.61491 -0.332 0.739694
## F1$Row4:F1$Column3 -5.48997 4.61491 -1.190 0.234371
## F1$Row40:F1$Column3 -1.37178 4.61491 -0.297 0.766313
## F1$Row41:F1$Column3 -0.22456 4.37052 -0.051 0.959028
## F1$Row42:F1$Column3 -6.70542 4.61491 -1.453 0.146418
## F1$Row43:F1$Column3 1.79195 4.76235 0.376 0.706761
## F1$Row44:F1$Column3 -6.84260 4.68183 -1.462 0.144065
## F1$Row45:F1$Column3 2.80031 4.68183 0.598 0.549841
## F1$Row46:F1$Column3 0.40294 4.68183 0.086 0.931425
## F1$Row47:F1$Column3 3.82367 4.61491 0.829 0.407482
## F1$Row48:F1$Column3 0.10663 4.55839 0.023 0.981341
## F1$Row49:F1$Column3 -2.60087 4.61491 -0.564 0.573117
## F1$Row5:F1$Column3 4.64167 4.68183 0.991 0.321626
## F1$Row50:F1$Column3 -3.00153 4.22057 -0.711 0.477083
## F1$Row6:F1$Column3 -0.21542 4.61491 -0.047 0.962775
## F1$Row7:F1$Column3 3.41003 4.61491 0.739 0.460063
## F1$Row8:F1$Column3 -0.41542 4.61491 -0.090 0.928285
## F1$Row9:F1$Column3 -5.68951 4.55839 -1.248 0.212158
## F1$Row10:F1$Column4 NA NA NA NA
## F1$Row11:F1$Column4 NA NA NA NA
## F1$Row12:F1$Column4 NA NA NA NA
## F1$Row13:F1$Column4 NA NA NA NA
## F1$Row14:F1$Column4 NA NA NA NA
## F1$Row15:F1$Column4 NA NA NA NA
## F1$Row16:F1$Column4 NA NA NA NA
## F1$Row17:F1$Column4 NA NA NA NA
## F1$Row18:F1$Column4 NA NA NA NA
## F1$Row19:F1$Column4 NA NA NA NA
## F1$Row2:F1$Column4 NA NA NA NA
## F1$Row20:F1$Column4 NA NA NA NA
## F1$Row21:F1$Column4 NA NA NA NA
## F1$Row22:F1$Column4 NA NA NA NA
## F1$Row23:F1$Column4 3.54384 4.75889 0.745 0.456574
## F1$Row24:F1$Column4 NA NA NA NA
## F1$Row25:F1$Column4 NA NA NA NA
## F1$Row26:F1$Column4 NA NA NA NA
## F1$Row27:F1$Column4 NA NA NA NA
## F1$Row28:F1$Column4 NA NA NA NA
## F1$Row29:F1$Column4 NA NA NA NA
## F1$Row3:F1$Column4 NA NA NA NA
## F1$Row30:F1$Column4 NA NA NA NA
## F1$Row31:F1$Column4 NA NA NA NA
## F1$Row32:F1$Column4 -8.65562 4.69306 -1.844 0.065314 .
## F1$Row33:F1$Column4 NA NA NA NA
## F1$Row34:F1$Column4 0.78438 4.69306 0.167 0.867283
## F1$Row35:F1$Column4 -4.62372 4.63750 -0.997 0.318897
## F1$Row36:F1$Column4 NA NA NA NA
## F1$Row37:F1$Column4 NA NA NA NA
## F1$Row38:F1$Column4 NA NA NA NA
## F1$Row39:F1$Column4 NA NA NA NA
## F1$Row4:F1$Column4 NA NA NA NA
## F1$Row40:F1$Column4 NA NA NA NA
## F1$Row41:F1$Column4 3.94296 4.70766 0.838 0.402399
## F1$Row42:F1$Column4 NA NA NA NA
## F1$Row43:F1$Column4 NA NA NA NA
## F1$Row44:F1$Column4 NA NA NA NA
## F1$Row45:F1$Column4 -4.80653 4.69306 -1.024 0.305903
## F1$Row46:F1$Column4 -5.43635 4.75889 -1.142 0.253473
## F1$Row47:F1$Column4 -9.74053 4.75889 -2.047 0.040837 *
## F1$Row48:F1$Column4 NA NA NA NA
## F1$Row49:F1$Column4 -3.22835 4.69306 -0.688 0.491615
## F1$Row5:F1$Column4 NA NA NA NA
## F1$Row50:F1$Column4 NA NA NA NA
## F1$Row6:F1$Column4 NA NA NA NA
## F1$Row7:F1$Column4 NA NA NA NA
## F1$Row8:F1$Column4 NA NA NA NA
## F1$Row9:F1$Column4 NA NA NA NA
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 8.273 on 1633 degrees of freedom
## Multiple R-squared: 0.1278, Adjusted R-squared: 0.04343
## F-statistic: 1.515 on 158 and 1633 DF, p-value: 8.435e-05
Dat = F1
#Identifying outliers outside
OBA <-boxplot(Dat$Anth,range = 3.5, plot = F)$out
OBC <-boxplot(Dat$Chl,range = 3, plot = F)$out
OBF <-boxplot(Dat$Flav,range = 3, plot = F)$out
OBN <-boxplot(Dat$NBI,range = 3,plot=F)$out
#Isolating outliers exceeding
OA = Dat[which(Dat$Anth %in% OBA),];OA
## Collection.Day Allocation Block Column Row group Group.ID Tree.ID Rep.
## 605 3 F1 34 3 17 38 116 IN4FM N
## 694 2 F1 10 2 20 33 69 IN4E4 N
## measure Height Flower Chl Flav Anth NBI
## 605 11 H N 59.122 1.640 0.483 36.05
## 694 7 M N 18.511 1.401 0.370 13.21
OC = Dat[which(Dat$Anth %in% OBC),];OC
## [1] Collection.Day Allocation Block Column
## [5] Row group Group.ID Tree.ID
## [9] Rep. measure Height Flower
## [13] Chl Flav Anth NBI
## <0 rows> (or 0-length row.names)
OF = Dat[which(Dat$Anth %in% OBF),];OF
## [1] Collection.Day Allocation Block Column
## [5] Row group Group.ID Tree.ID
## [9] Rep. measure Height Flower
## [13] Chl Flav Anth NBI
## <0 rows> (or 0-length row.names)
ON = Dat[which(Dat$Anth %in% OBN),];ON
## [1] Collection.Day Allocation Block Column
## [5] Row group Group.ID Tree.ID
## [9] Rep. measure Height Flower
## [13] Chl Flav Anth NBI
## <0 rows> (or 0-length row.names)
Dat <- Dat[-which(Dat$Anth %in% OBA),]
DATG <- ggplot(F1) + aes(x = Tree.ID, y = Anth,) + geom_boxplot(fill = "dodgerblue1", size = 1.25) + ylab("Anth") + xlab("Tree ID") + ggtitle("Anthocyanin Raw Data") +stat_summary(fun.y=mean, colour="gray90", geom="point", shape=18, size=3) +theme_bw()+theme(plot.title = element_text(hjust = 0.5))+geom_hline(yintercept = mean(F1$Anth))
DATG2 <- ggplot(Dat) + aes(x = Tree.ID, y = Anth,) + geom_boxplot(fill = "dodgerblue1", size = 1.25) + ylab("Anth") + xlab("Tree ID") + ggtitle("Anthocyanin Outliers Removed") +stat_summary(fun.y=mean, colour="gray90", geom="point", shape=18, size=3) +theme_bw()+theme(plot.title = element_text(hjust = 0.5))+geom_hline(yintercept = mean(Dat$Anth))
grid.arrange(DATG,DATG2)
#Total Mean
Dat$ATmean = mean(Dat$Anth)
Dat$CTmean = mean(Dat$Chl)
Dat$FTmean = mean(Dat$Flav)
Dat$NTmean = mean(Dat$NBI)
#Remove Total Mean
Dat$Anth2 = Dat$Anth - Dat$ATmean
Dat$Chl2 = Dat$Chl - Dat$CTmean
Dat$Flav2 = Dat$Flav - Dat$FTmean
Dat$NBI2 = Dat$NBI - Dat$NTmean
#Height Mean for Anth and Flav
DatH = group_by(Dat, Height)
DatH = summarise(DatH, HAnth = mean(Anth, na.rm = T), HChl = mean(Chl, na.rm =T), HFlav = mean(Flav,na.rm = T), HNBI = mean(NBI, na.rm = T))
#Add Height Mean to Data
Dat =merge(Dat, DatH, by.x = "Height")
#Calculate Height Mean Deviation from Total Mean
Dat$ATH = Dat$ATmean - Dat$HAnth
Dat$CTH = Dat$CTmean - Dat$HChl
Dat$FTH = Dat$FTmean - Dat$HFlav
Dat$NTH = Dat$NTmean - Dat$HNBI
#Controlling for Height Anth and Flav
Dat$Anth3 = Dat$Anth2 + Dat$ATH
Dat$Chl3 = Dat$Chl2 + Dat$CTH
Dat$Flav3 = Dat$Flav2 + Dat$FTH
Dat$NBI3 = Dat$NBI2 + Dat$NTH
#Column Mean for Chl, Flav,NBI
DatC = group_by(Dat, Column)
DatC = summarise(DatC, CAnth = mean(Anth, na.rm = T), CChl = mean(Chl, na.rm = T) ,CFlav = mean(Flav,na.rm = T), CNBI = mean(NBI,na.rm = T))
#Add Column Mean to Data
Dat =merge(Dat, DatC, by.x = "Column")
#Calculate Column Mean Deviation from Total Mean
Dat$ATC = Dat$ATmean - Dat$CAnth
Dat$CTC = Dat$CTmean - Dat$CChl
Dat$FTC = Dat$FTmean - Dat$CFlav
Dat$NTC = Dat$NTmean - Dat$CNBI
#Controlling for Column Chl, Flav and NBI
Dat$Anth4 = Dat$Anth3 + Dat$ATC
Dat$Chl4 = Dat$Chl2 + Dat$CTC
Dat$Flav4 = Dat$Flav3 + Dat$FTC
Dat$NBI4 = Dat$NBI3 + Dat$NTC
#Row Mean for Anth, Chl, Flav and and NBI
DatR = group_by(Dat, Row)
DatR = summarise(DatR, RAnth = mean(Anth,na.rm = T),RChl = mean(Chl,na.rm = T), RFlav = mean(Flav,na.rm = T), RNBI = mean(NBI,na.rm = T))
#Add Row Mean to Data
Dat =merge(Dat, DatR, by.x = "Row")
#Calculate Row Mean Deviation from Total Mean
Dat$ATR = Dat$ATmean - Dat$RAnth
Dat$CTR = Dat$CTmean - Dat$RChl
Dat$FTR = Dat$FTmean - Dat$RFlav
Dat$NTR = Dat$NTmean - Dat$RNBI
#Controlling for Row in Anth, Chl, Flav and NBI
Dat$Anth5 = Dat$Anth4 + Dat$ATR
Dat$Chl5 = Dat$Chl4 + Dat$CTR
Dat$Flav5 = Dat$Flav4 + Dat$FTR
Dat$NBI5 = Dat$NBI4 + Dat$NTR
## Analysis of Variance Table
##
## Response: Dat$Anth5
## Df Sum Sq Mean Sq F value Pr(>F)
## Dat$Height 2 0.00000 0.0000013 0.0008 0.99918
## Dat$Column 3 0.00043 0.0001418 0.0869 0.96722
## Dat$Row 49 0.00058 0.0000118 0.0072 1.00000
## Dat$Height:Dat$Column 6 0.01972 0.0032863 2.0144 0.06088 .
## Dat$Height:Dat$Row 98 0.18437 0.0018813 1.1532 0.15291
## Dat$Column:Dat$Row 106 0.26715 0.0025203 1.5448 0.00052 ***
## Dat$Height:Dat$Column:Dat$Row 212 0.41022 0.0019350 1.1861 0.04567 *
## Residuals 1313 2.14207 0.0016314
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Call:
## lm(formula = Dat$Anth5 ~ Dat$Height * Dat$Column * Dat$Row)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.128250 -0.022333 0.000333 0.021750 0.152750
##
## Coefficients: (123 not defined because of singularities)
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 0.0037677 0.0142804 0.264 0.79195
## Dat$HeightL -0.0002426 0.0196265 -0.012 0.99014
## Dat$HeightM 0.0037440 0.0196265 0.191 0.84874
## Dat$Column2 -0.0266401 0.0273448 -0.974 0.33012
## Dat$Column3 -0.0151472 0.0273448 -0.554 0.57972
## Dat$Column4 0.0603375 0.0273448 2.207 0.02752
## Dat$Row10 -0.0071875 0.0247343 -0.291 0.77141
## Dat$Row11 -0.0035281 0.0201955 -0.175 0.86135
## Dat$Row12 -0.0211458 0.0273448 -0.773 0.43948
## Dat$Row13 0.0882931 0.0319319 2.765 0.00577
## Dat$Row14 0.0158788 0.0273448 0.581 0.56155
## Dat$Row15 0.0153636 0.0273448 0.562 0.57432
## Dat$Row16 0.0224333 0.0273448 0.820 0.41214
## Dat$Row17 -0.0039821 0.0368718 -0.108 0.91401
## Dat$Row18 0.0410667 0.0273448 1.502 0.13339
## Dat$Row19 -0.0114242 0.0273448 -0.418 0.67617
## Dat$Row2 -0.0217879 0.0273448 -0.797 0.42572
## Dat$Row20 0.0118450 0.0273448 0.433 0.66496
## Dat$Row21 -0.0122905 0.0247343 -0.497 0.61934
## Dat$Row22 -0.0350303 0.0273448 -1.281 0.20040
## Dat$Row23 -0.0475659 0.0273448 -1.739 0.08218
## Dat$Row24 -0.0046667 0.0273448 -0.171 0.86452
## Dat$Row25 0.0130303 0.0273448 0.477 0.63378
## Dat$Row26 0.0063710 0.0319319 0.200 0.84189
## Dat$Row27 0.0013333 0.0273448 0.049 0.96112
## Dat$Row28 -0.0741818 0.0273448 -2.713 0.00676
## Dat$Row29 0.0082500 0.0273448 0.302 0.76293
## Dat$Row3 -0.0113939 0.0273448 -0.417 0.67698
## Dat$Row30 0.0297333 0.0273448 1.087 0.27708
## Dat$Row31 0.0209680 0.0201955 1.038 0.29934
## Dat$Row32 -0.0251364 0.0273448 -0.919 0.35814
## Dat$Row33 -0.0660000 0.0273448 -2.414 0.01593
## Dat$Row34 -0.0054621 0.0273448 -0.200 0.84171
## Dat$Row35 0.0364222 0.0247343 1.473 0.14112
## Dat$Row36 -0.0396562 0.0273448 -1.450 0.14723
## Dat$Row37 -0.0068021 0.0273448 -0.249 0.80359
## Dat$Row38 -0.0346774 0.0319319 -1.086 0.27769
## Dat$Row39 -0.0050909 0.0273448 -0.186 0.85234
## Dat$Row4 -0.0330152 0.0247343 -1.335 0.18218
## Dat$Row40 -0.0294848 0.0273448 -1.078 0.28112
## Dat$Row41 -0.0273298 0.0247343 -1.105 0.26939
## Dat$Row42 -0.0392424 0.0273448 -1.435 0.15150
## Dat$Row43 0.0213226 0.0273448 0.780 0.43567
## Dat$Row44 -0.0014062 0.0319319 -0.044 0.96488
## Dat$Row45 -0.0078837 0.0273448 -0.288 0.77316
## Dat$Row46 0.0352791 0.0319319 1.105 0.26944
## Dat$Row47 0.0035581 0.0273448 0.130 0.89649
## Dat$Row48 -0.0281818 0.0273448 -1.031 0.30291
## Dat$Row49 -0.0335227 0.0273448 -1.226 0.22045
## Dat$Row5 0.0024583 0.0273448 0.090 0.92838
## Dat$Row50 -0.0209298 0.0201955 -1.036 0.30022
## Dat$Row6 -0.0428485 0.0273448 -1.567 0.11736
## Dat$Row7 0.0472727 0.0273448 1.729 0.08409
## Dat$Row8 -0.0045455 0.0273448 -0.166 0.86800
## Dat$Row9 -0.0335686 0.0273448 -1.228 0.21982
## Dat$HeightL:Dat$Column2 0.0302083 0.0365632 0.826 0.40884
## Dat$HeightM:Dat$Column2 -0.0004028 0.0365632 -0.011 0.99121
## Dat$HeightL:Dat$Column3 0.0094583 0.0365632 0.259 0.79592
## Dat$HeightM:Dat$Column3 0.0190972 0.0365632 0.522 0.60154
## Dat$HeightL:Dat$Column4 0.0096000 0.0381405 0.252 0.80131
## Dat$HeightM:Dat$Column4 -0.0095357 0.0372647 -0.256 0.79807
## Dat$HeightL:Dat$Row10 0.0184583 0.0346542 0.533 0.59437
## Dat$HeightM:Dat$Row10 -0.0347361 0.0365632 -0.950 0.34227
## Dat$HeightL:Dat$Row11 -0.0040167 0.0274276 -0.146 0.88359
## Dat$HeightM:Dat$Row11 -0.0047500 0.0277561 -0.171 0.86414
## Dat$HeightL:Dat$Row12 0.0487917 0.0365632 1.334 0.18229
## Dat$HeightM:Dat$Row12 0.0656806 0.0365632 1.796 0.07267
## Dat$HeightL:Dat$Row13 -0.0435417 0.0401095 -1.086 0.27787
## Dat$HeightM:Dat$Row13 -0.1031528 0.0401095 -2.572 0.01023
## Dat$HeightL:Dat$Row14 -0.0104583 0.0365632 -0.286 0.77490
## Dat$HeightM:Dat$Row14 0.0091806 0.0365632 0.251 0.80179
## Dat$HeightL:Dat$Row15 -0.0466250 0.0365632 -1.275 0.20247
## Dat$HeightM:Dat$Row15 0.0067639 0.0365632 0.185 0.85326
## Dat$HeightL:Dat$Row16 -0.0616250 0.0417699 -1.475 0.14036
## Dat$HeightM:Dat$Row16 -0.0094028 0.0383774 -0.245 0.80649
## Dat$HeightL:Dat$Row17 0.0720000 0.0466395 1.544 0.12289
## Dat$HeightM:Dat$Row17 -0.0287500 0.0466395 -0.616 0.53772
## Dat$HeightL:Dat$Row18 -0.0706250 0.0365632 -1.932 0.05363
## Dat$HeightM:Dat$Row18 -0.0647361 0.0365632 -1.771 0.07687
## Dat$HeightL:Dat$Row19 0.0264583 0.0365632 0.724 0.46942
## Dat$HeightM:Dat$Row19 0.0165972 0.0365632 0.454 0.64995
## Dat$HeightL:Dat$Row2 0.0166250 0.0365632 0.455 0.64941
## Dat$HeightM:Dat$Row2 0.0452639 0.0365632 1.238 0.21595
## Dat$HeightL:Dat$Row20 -0.0231250 0.0365632 -0.632 0.52719
## Dat$HeightM:Dat$Row20 -0.0024861 0.0365632 -0.068 0.94580
## Dat$HeightL:Dat$Row21 -0.0180417 0.0326338 -0.553 0.58046
## Dat$HeightM:Dat$Row21 0.0105472 0.0334566 0.315 0.75262
## Dat$HeightL:Dat$Row22 0.0207917 0.0365632 0.569 0.56969
## Dat$HeightM:Dat$Row22 0.0786806 0.0365632 2.152 0.03159
## Dat$HeightL:Dat$Row23 0.0282917 0.0365632 0.774 0.43920
## Dat$HeightM:Dat$Row23 0.0689306 0.0383774 1.796 0.07270
## Dat$HeightL:Dat$Row24 0.0197083 0.0365632 0.539 0.58996
## Dat$HeightM:Dat$Row24 -0.0030028 0.0354302 -0.085 0.93247
## Dat$HeightL:Dat$Row25 -0.0216250 0.0365632 -0.591 0.55433
## Dat$HeightM:Dat$Row25 -0.0294861 0.0365632 -0.806 0.42013
## Dat$HeightL:Dat$Row26 0.0037083 0.0401095 0.092 0.92635
## Dat$HeightM:Dat$Row26 -0.0011528 0.0401095 -0.029 0.97708
## Dat$HeightL:Dat$Row27 -0.0226250 0.0365632 -0.619 0.53616
## Dat$HeightM:Dat$Row27 -0.0049861 0.0365632 -0.136 0.89155
## Dat$HeightL:Dat$Row28 0.0726250 0.0365632 1.986 0.04721
## Dat$HeightM:Dat$Row28 0.0362639 0.0365632 0.992 0.32147
## Dat$HeightL:Dat$Row29 -0.0645417 0.0365632 -1.765 0.07776
## Dat$HeightM:Dat$Row29 -0.0127361 0.0383774 -0.332 0.74004
## Dat$HeightL:Dat$Row3 0.0219583 0.0365632 0.601 0.54824
## Dat$HeightM:Dat$Row3 0.0158472 0.0365632 0.433 0.66478
## Dat$HeightL:Dat$Row30 -0.0341250 0.0365632 -0.933 0.35083
## Dat$HeightM:Dat$Row30 -0.0374028 0.0383774 -0.975 0.32994
## Dat$HeightL:Dat$Row31 -0.0375952 0.0286739 -1.311 0.19004
## Dat$HeightM:Dat$Row31 -0.0186111 0.0293434 -0.634 0.52603
## Dat$HeightL:Dat$Row32 -0.0057917 0.0365632 -0.158 0.87416
## Dat$HeightM:Dat$Row32 0.0078472 0.0365632 0.215 0.83010
## Dat$HeightL:Dat$Row33 0.0462917 0.0365632 1.266 0.20571
## Dat$HeightM:Dat$Row33 0.0561806 0.0365632 1.537 0.12465
## Dat$HeightL:Dat$Row34 0.0063750 0.0365632 0.174 0.86161
## Dat$HeightM:Dat$Row34 0.0147639 0.0365632 0.404 0.68643
## Dat$HeightL:Dat$Row35 -0.0612917 0.0346542 -1.769 0.07718
## Dat$HeightM:Dat$Row35 -0.0451528 0.0346542 -1.303 0.19282
## Dat$HeightL:Dat$Row36 0.0633750 0.0383774 1.651 0.09890
## Dat$HeightM:Dat$Row36 0.0263472 0.0365632 0.721 0.47129
## Dat$HeightL:Dat$Row37 -0.0166250 0.0383774 -0.433 0.66494
## Dat$HeightM:Dat$Row37 0.0109306 0.0365632 0.299 0.76503
## Dat$HeightL:Dat$Row38 0.0177083 0.0401095 0.441 0.65892
## Dat$HeightM:Dat$Row38 0.0823472 0.0401095 2.053 0.04026
## Dat$HeightL:Dat$Row39 -0.0065417 0.0365632 -0.179 0.85803
## Dat$HeightM:Dat$Row39 0.0010972 0.0365632 0.030 0.97606
## Dat$HeightL:Dat$Row4 0.0037083 0.0346542 0.107 0.91480
## Dat$HeightM:Dat$Row4 0.0260972 0.0365632 0.714 0.47550
## Dat$HeightL:Dat$Row40 0.0436250 0.0365632 1.193 0.23303
## Dat$HeightM:Dat$Row40 0.0010139 0.0365632 0.028 0.97788
## Dat$HeightL:Dat$Row41 0.0449226 0.0320331 1.402 0.16104
## Dat$HeightM:Dat$Row41 0.0352639 0.0326338 1.081 0.28008
## Dat$HeightL:Dat$Row42 0.0640417 0.0383774 1.669 0.09541
## Dat$HeightM:Dat$Row42 0.0338639 0.0354302 0.956 0.33935
## Dat$HeightL:Dat$Row43 -0.0370417 0.0365632 -1.013 0.31121
## Dat$HeightM:Dat$Row43 -0.0484028 0.0365632 -1.324 0.18580
## Dat$HeightL:Dat$Row44 -0.0137917 0.0401095 -0.344 0.73101
## Dat$HeightM:Dat$Row44 -0.0241528 0.0401095 -0.602 0.54716
## Dat$HeightL:Dat$Row45 0.0509583 0.0365632 1.394 0.16364
## Dat$HeightM:Dat$Row45 0.0038472 0.0365632 0.105 0.91622
## Dat$HeightL:Dat$Row46 -0.0576250 0.0417699 -1.380 0.16795
## Dat$HeightM:Dat$Row46 -0.0698028 0.0390794 -1.786 0.07430
## Dat$HeightL:Dat$Row47 -0.0052917 0.0365632 -0.145 0.88495
## Dat$HeightM:Dat$Row47 -0.0239028 0.0365632 -0.654 0.51339
## Dat$HeightL:Dat$Row48 0.0020417 0.0365632 0.056 0.95548
## Dat$HeightM:Dat$Row48 0.0336806 0.0365632 0.921 0.35714
## Dat$HeightL:Dat$Row49 0.0334583 0.0365632 0.915 0.36032
## Dat$HeightM:Dat$Row49 0.0043472 0.0365632 0.119 0.90538
## Dat$HeightL:Dat$Row5 -0.0542917 0.0383774 -1.415 0.15740
## Dat$HeightM:Dat$Row5 0.0275139 0.0365632 0.753 0.45188
## Dat$HeightL:Dat$Row50 0.0071083 0.0274276 0.259 0.79555
## Dat$HeightM:Dat$Row50 -0.0251171 0.0286739 -0.876 0.38121
## Dat$HeightL:Dat$Row6 0.0292917 0.0365632 0.801 0.42320
## Dat$HeightM:Dat$Row6 0.0551806 0.0365632 1.509 0.13149
## Dat$HeightL:Dat$Row7 -0.0313750 0.0365632 -0.858 0.39099
## Dat$HeightM:Dat$Row7 -0.0307361 0.0365632 -0.841 0.40071
## Dat$HeightL:Dat$Row8 0.0222917 0.0365632 0.610 0.54218
## Dat$HeightM:Dat$Row8 -0.0050694 0.0365632 -0.139 0.88975
## Dat$HeightL:Dat$Row9 0.0340417 0.0365632 0.931 0.35201
## Dat$HeightM:Dat$Row9 0.0084306 0.0365632 0.231 0.81768
## Dat$Column2:Dat$Row10 0.0410417 0.0412239 0.996 0.31964
## Dat$Column3:Dat$Row10 0.0073750 0.0412239 0.179 0.85804
## Dat$Column4:Dat$Row10 NA NA NA NA
## Dat$Column2:Dat$Row11 -0.0057500 0.0386714 -0.149 0.88182
## Dat$Column3:Dat$Row11 0.0335833 0.0386714 0.868 0.38532
## Dat$Column4:Dat$Row11 NA NA NA NA
## Dat$Column2:Dat$Row12 0.0787083 0.0428411 1.837 0.06640
## Dat$Column3:Dat$Row12 0.0220417 0.0428411 0.514 0.60699
## Dat$Column4:Dat$Row12 NA NA NA NA
## Dat$Column2:Dat$Row13 -0.0897917 0.0459050 -1.956 0.05067
## Dat$Column3:Dat$Row13 -0.1014583 0.0459050 -2.210 0.02726
## Dat$Column4:Dat$Row13 NA NA NA NA
## Dat$Column2:Dat$Row14 0.0077083 0.0428411 0.180 0.85724
## Dat$Column3:Dat$Row14 -0.0102917 0.0428411 -0.240 0.81019
## Dat$Column4:Dat$Row14 NA NA NA NA
## Dat$Column2:Dat$Row15 0.0267083 0.0428411 0.623 0.53311
## Dat$Column3:Dat$Row15 -0.0156250 0.0428411 -0.365 0.71538
## Dat$Column4:Dat$Row15 NA NA NA NA
## Dat$Column2:Dat$Row16 -0.0399583 0.0428411 -0.933 0.35114
## Dat$Column3:Dat$Row16 0.0087083 0.0428411 0.203 0.83896
## Dat$Column4:Dat$Row16 NA NA NA NA
## Dat$Column2:Dat$Row17 0.0068333 0.0494687 0.138 0.89016
## Dat$Column3:Dat$Row17 NA NA NA NA
## Dat$Column4:Dat$Row17 NA NA NA NA
## Dat$Column2:Dat$Row18 -0.0199583 0.0428411 -0.466 0.64139
## Dat$Column3:Dat$Row18 -0.0352917 0.0428411 -0.824 0.41021
## Dat$Column4:Dat$Row18 NA NA NA NA
## Dat$Column2:Dat$Row19 0.0813750 0.0428411 1.899 0.05772
## Dat$Column3:Dat$Row19 -0.0149583 0.0428411 -0.349 0.72703
## Dat$Column4:Dat$Row19 NA NA NA NA
## Dat$Column2:Dat$Row2 0.0420417 0.0428411 0.981 0.32661
## Dat$Column3:Dat$Row2 0.0957083 0.0428411 2.234 0.02565
## Dat$Column4:Dat$Row2 NA NA NA NA
## Dat$Column2:Dat$Row20 -0.0177917 0.0395406 -0.450 0.65281
## Dat$Column3:Dat$Row20 -0.0372917 0.0428411 -0.870 0.38421
## Dat$Column4:Dat$Row20 NA NA NA NA
## Dat$Column2:Dat$Row21 0.0207917 0.0412239 0.504 0.61409
## Dat$Column3:Dat$Row21 0.0221250 0.0412239 0.537 0.59156
## Dat$Column4:Dat$Row21 NA NA NA NA
## Dat$Column2:Dat$Row22 0.0480417 0.0428411 1.121 0.26233
## Dat$Column3:Dat$Row22 0.0653750 0.0428411 1.526 0.12725
## Dat$Column4:Dat$Row22 NA NA NA NA
## Dat$Column2:Dat$Row23 0.0547083 0.0428411 1.277 0.20183
## Dat$Column3:Dat$Row23 0.1367083 0.0428411 3.191 0.00145
## Dat$Column4:Dat$Row23 -0.0186667 0.0428411 -0.436 0.66311
## Dat$Column2:Dat$Row24 0.0268750 0.0459050 0.585 0.55835
## Dat$Column3:Dat$Row24 0.0387083 0.0428411 0.904 0.36641
## Dat$Column4:Dat$Row24 NA NA NA NA
## Dat$Column2:Dat$Row25 0.0040417 0.0428411 0.094 0.92485
## Dat$Column3:Dat$Row25 -0.0482917 0.0428411 -1.127 0.25985
## Dat$Column4:Dat$Row25 NA NA NA NA
## Dat$Column2:Dat$Row26 0.0133750 0.0487768 0.274 0.78397
## Dat$Column3:Dat$Row26 0.0015417 0.0459050 0.034 0.97321
## Dat$Column4:Dat$Row26 NA NA NA NA
## Dat$Column2:Dat$Row27 0.0023750 0.0428411 0.055 0.95580
## Dat$Column3:Dat$Row27 0.0155417 0.0459050 0.339 0.73499
## Dat$Column4:Dat$Row27 NA NA NA NA
## Dat$Column2:Dat$Row28 0.1153750 0.0428411 2.693 0.00717
## Dat$Column3:Dat$Row28 0.1113750 0.0428411 2.600 0.00943
## Dat$Column4:Dat$Row28 NA NA NA NA
## Dat$Column2:Dat$Row29 0.0181250 0.0412239 0.440 0.66025
## Dat$Column3:Dat$Row29 0.0150417 0.0428411 0.351 0.72557
## Dat$Column4:Dat$Row29 NA NA NA NA
## Dat$Column2:Dat$Row3 0.0610417 0.0428411 1.425 0.15444
## Dat$Column3:Dat$Row3 -0.0349583 0.0428411 -0.816 0.41465
## Dat$Column4:Dat$Row3 NA NA NA NA
## Dat$Column2:Dat$Row30 -0.0199583 0.0428411 -0.466 0.64139
## Dat$Column3:Dat$Row30 -0.0416250 0.0428411 -0.972 0.33142
## Dat$Column4:Dat$Row30 NA NA NA NA
## Dat$Column2:Dat$Row31 -0.0025000 0.0386714 -0.065 0.94846
## Dat$Column3:Dat$Row31 -0.0555000 0.0386714 -1.435 0.15148
## Dat$Column4:Dat$Row31 NA NA NA NA
## Dat$Column2:Dat$Row32 0.0653750 0.0428411 1.526 0.12725
## Dat$Column3:Dat$Row32 0.1077083 0.0428411 2.514 0.01205
## Dat$Column4:Dat$Row32 -0.0106667 0.0428411 -0.249 0.80341
## Dat$Column2:Dat$Row33 0.1070417 0.0428411 2.499 0.01259
## Dat$Column3:Dat$Row33 0.0503750 0.0428411 1.176 0.23987
## Dat$Column4:Dat$Row33 NA NA NA NA
## Dat$Column2:Dat$Row34 0.0057083 0.0428411 0.133 0.89402
## Dat$Column3:Dat$Row34 0.0257083 0.0428411 0.600 0.54855
## Dat$Column4:Dat$Row34 -0.0646667 0.0428411 -1.509 0.13142
## Dat$Column2:Dat$Row35 -0.0086250 0.0412239 -0.209 0.83431
## Dat$Column3:Dat$Row35 -0.0596250 0.0412239 -1.446 0.14831
## Dat$Column4:Dat$Row35 -0.0556667 0.0412239 -1.350 0.17714
## Dat$Column2:Dat$Row36 0.0340417 0.0428411 0.795 0.42699
## Dat$Column3:Dat$Row36 0.0583750 0.0428411 1.363 0.17324
## Dat$Column4:Dat$Row36 NA NA NA NA
## Dat$Column2:Dat$Row37 0.0390417 0.0428411 0.911 0.36230
## Dat$Column3:Dat$Row37 0.0210417 0.0428411 0.491 0.62340
## Dat$Column4:Dat$Row37 NA NA NA NA
## Dat$Column2:Dat$Row38 0.0488750 0.0443995 1.101 0.27119
## Dat$Column3:Dat$Row38 0.0417083 0.0459050 0.909 0.36374
## Dat$Column4:Dat$Row38 NA NA NA NA
## Dat$Column2:Dat$Row39 0.0447083 0.0428411 1.044 0.29687
## Dat$Column3:Dat$Row39 0.0520417 0.0428411 1.215 0.22468
## Dat$Column4:Dat$Row39 NA NA NA NA
## Dat$Column2:Dat$Row4 0.0882083 0.0412239 2.140 0.03256
## Dat$Column3:Dat$Row4 0.0568750 0.0412239 1.380 0.16793
## Dat$Column4:Dat$Row4 NA NA NA NA
## Dat$Column2:Dat$Row40 0.0033750 0.0428411 0.079 0.93722
## Dat$Column3:Dat$Row40 0.0627083 0.0428411 1.464 0.14350
## Dat$Column4:Dat$Row40 NA NA NA NA
## Dat$Column2:Dat$Row41 0.0782083 0.0412239 1.897 0.05803
## Dat$Column3:Dat$Row41 0.0242083 0.0412239 0.587 0.55714
## Dat$Column4:Dat$Row41 -0.0140000 0.0443995 -0.315 0.75257
## Dat$Column2:Dat$Row42 0.0303750 0.0428411 0.709 0.47844
## Dat$Column3:Dat$Row42 0.0583750 0.0428411 1.363 0.17324
## Dat$Column4:Dat$Row42 NA NA NA NA
## Dat$Column2:Dat$Row43 0.0373750 0.0428411 0.872 0.38314
## Dat$Column3:Dat$Row43 -0.0181250 0.0459050 -0.395 0.69303
## Dat$Column4:Dat$Row43 NA NA NA NA
## Dat$Column2:Dat$Row44 0.0037083 0.0459050 0.081 0.93563
## Dat$Column3:Dat$Row44 0.0370417 0.0459050 0.807 0.41986
## Dat$Column4:Dat$Row44 NA NA NA NA
## Dat$Column2:Dat$Row45 -0.0206250 0.0428411 -0.481 0.63029
## Dat$Column3:Dat$Row45 -0.0086250 0.0428411 -0.201 0.84048
## Dat$Column4:Dat$Row45 -0.0440000 0.0428411 -1.027 0.30459
## Dat$Column2:Dat$Row46 0.0247083 0.0459050 0.538 0.59050
## Dat$Column3:Dat$Row46 -0.0406250 0.0459050 -0.885 0.37633
## Dat$Column4:Dat$Row46 -0.0843333 0.0459050 -1.837 0.06642
## Dat$Column2:Dat$Row47 0.0433750 0.0428411 1.012 0.31150
## Dat$Column3:Dat$Row47 -0.0088750 0.0412239 -0.215 0.82958
## Dat$Column4:Dat$Row47 -0.0720000 0.0428411 -1.681 0.09307
## Dat$Column2:Dat$Row48 0.0557083 0.0459050 1.214 0.22514
## Dat$Column3:Dat$Row48 0.0554583 0.0412239 1.345 0.17876
## Dat$Column4:Dat$Row48 NA NA NA NA
## Dat$Column2:Dat$Row49 0.0867083 0.0428411 2.024 0.04318
## Dat$Column3:Dat$Row49 0.0757083 0.0428411 1.767 0.07743
## Dat$Column4:Dat$Row49 -0.0220000 0.0428411 -0.514 0.60767
## Dat$Column2:Dat$Row5 0.0053750 0.0428411 0.125 0.90018
## Dat$Column3:Dat$Row5 0.0280417 0.0428411 0.655 0.51287
## Dat$Column4:Dat$Row5 NA NA NA NA
## Dat$Column2:Dat$Row50 0.0330417 0.0386714 0.854 0.39303
## Dat$Column3:Dat$Row50 0.0283750 0.0386714 0.734 0.46323
## Dat$Column4:Dat$Row50 NA NA NA NA
## Dat$Column2:Dat$Row6 0.0363750 0.0428411 0.849 0.39600
## Dat$Column3:Dat$Row6 0.0590417 0.0428411 1.378 0.16839
## Dat$Column4:Dat$Row6 NA NA NA NA
## Dat$Column2:Dat$Row7 -0.0176250 0.0428411 -0.411 0.68084
## Dat$Column3:Dat$Row7 -0.0432917 0.0428411 -1.011 0.31243
## Dat$Column4:Dat$Row7 NA NA NA NA
## Dat$Column2:Dat$Row8 0.0523750 0.0428411 1.223 0.22172
## Dat$Column3:Dat$Row8 0.0443750 0.0428411 1.036 0.30048
## Dat$Column4:Dat$Row8 NA NA NA NA
## Dat$Column2:Dat$Row9 0.0877083 0.0428411 2.047 0.04083
## Dat$Column3:Dat$Row9 0.0577083 0.0412239 1.400 0.16179
## Dat$Column4:Dat$Row9 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row10 -0.0668750 0.0557158 -1.200 0.23024
## Dat$HeightM:Dat$Column2:Dat$Row10 0.0014028 0.0581047 0.024 0.98074
## Dat$HeightL:Dat$Column3:Dat$Row10 0.0237917 0.0557158 0.427 0.66944
## Dat$HeightM:Dat$Column3:Dat$Row10 0.0119861 0.0569228 0.211 0.83326
## Dat$HeightL:Dat$Column4:Dat$Row10 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row10 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row11 0.0115167 0.0515326 0.223 0.82319
## Dat$HeightM:Dat$Column2:Dat$Row11 0.0270000 0.0517082 0.522 0.60165
## Dat$HeightL:Dat$Column3:Dat$Row11 -0.0083167 0.0515326 -0.161 0.87181
## Dat$HeightM:Dat$Column3:Dat$Row11 -0.0255833 0.0517082 -0.495 0.62085
## Dat$HeightL:Dat$Column4:Dat$Row11 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row11 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row12 -0.1490417 0.0569228 -2.618 0.00894
## Dat$HeightM:Dat$Column2:Dat$Row12 -0.1149306 0.0569228 -2.019 0.04368
## Dat$HeightL:Dat$Column3:Dat$Row12 -0.0578750 0.0581047 -0.996 0.31941
## Dat$HeightM:Dat$Column3:Dat$Row12 -0.1142639 0.0569228 -2.007 0.04492
## Dat$HeightL:Dat$Column4:Dat$Row12 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row12 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row13 0.0392083 0.0592631 0.662 0.50835
## Dat$HeightM:Dat$Column2:Dat$Row13 0.1105694 0.0592631 1.866 0.06230
## Dat$HeightL:Dat$Column3:Dat$Row13 0.0197917 0.0603992 0.328 0.74321
## Dat$HeightM:Dat$Column3:Dat$Row13 0.0809861 0.0626097 1.294 0.19606
## Dat$HeightL:Dat$Column4:Dat$Row13 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row13 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row14 -0.0377917 0.0569228 -0.664 0.50686
## Dat$HeightM:Dat$Column2:Dat$Row14 -0.0211806 0.0569228 -0.372 0.70988
## Dat$HeightL:Dat$Column3:Dat$Row14 -0.0190417 0.0569228 -0.335 0.73804
## Dat$HeightM:Dat$Column3:Dat$Row14 -0.0299306 0.0569228 -0.526 0.59911
## Dat$HeightL:Dat$Column4:Dat$Row14 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row14 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row15 -0.0130417 0.0569228 -0.229 0.81882
## Dat$HeightM:Dat$Column2:Dat$Row15 -0.0459306 0.0569228 -0.807 0.41987
## Dat$HeightL:Dat$Column3:Dat$Row15 0.0480417 0.0569228 0.844 0.39883
## Dat$HeightM:Dat$Column3:Dat$Row15 -0.0145972 0.0569228 -0.256 0.79765
## Dat$HeightL:Dat$Column4:Dat$Row15 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row15 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row16 0.0693750 0.0603992 1.149 0.25093
## Dat$HeightM:Dat$Column2:Dat$Row16 0.0514028 0.0581047 0.885 0.37650
## Dat$HeightL:Dat$Column3:Dat$Row16 0.0049583 0.0603992 0.082 0.93459
## Dat$HeightM:Dat$Column3:Dat$Row16 -0.0155139 0.0581047 -0.267 0.78951
## Dat$HeightL:Dat$Column4:Dat$Row16 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row16 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row17 -0.1013333 0.0638638 -1.587 0.11282
## Dat$HeightM:Dat$Column2:Dat$Row17 0.0359167 0.0638638 0.562 0.57394
## Dat$HeightL:Dat$Column3:Dat$Row17 NA NA NA NA
## Dat$HeightM:Dat$Column3:Dat$Row17 NA NA NA NA
## Dat$HeightL:Dat$Column4:Dat$Row17 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row17 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row18 0.0196250 0.0569228 0.345 0.73033
## Dat$HeightM:Dat$Column2:Dat$Row18 0.0779861 0.0569228 1.370 0.17091
## Dat$HeightL:Dat$Column3:Dat$Row18 0.0852083 0.0603992 1.411 0.15855
## Dat$HeightM:Dat$Column3:Dat$Row18 0.0605694 0.0581047 1.042 0.29741
## Dat$HeightL:Dat$Column4:Dat$Row18 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row18 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row19 -0.1247083 0.0569228 -2.191 0.02864
## Dat$HeightM:Dat$Column2:Dat$Row19 -0.0583472 0.0569228 -1.025 0.30554
## Dat$HeightL:Dat$Column3:Dat$Row19 -0.0313750 0.0569228 -0.551 0.58160
## Dat$HeightM:Dat$Column3:Dat$Row19 0.0089861 0.0569228 0.158 0.87459
## Dat$HeightL:Dat$Column4:Dat$Row19 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row19 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row2 -0.0586250 0.0569228 -1.030 0.30325
## Dat$HeightM:Dat$Column2:Dat$Row2 -0.0730139 0.0569228 -1.283 0.19983
## Dat$HeightL:Dat$Column3:Dat$Row2 -0.1090417 0.0569228 -1.916 0.05563
## Dat$HeightM:Dat$Column3:Dat$Row2 -0.1319306 0.0569228 -2.318 0.02062
## Dat$HeightL:Dat$Column4:Dat$Row2 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row2 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row20 0.0389583 0.0525773 0.741 0.45884
## Dat$HeightM:Dat$Column2:Dat$Row20 0.0207480 0.0528536 0.393 0.69471
## Dat$HeightL:Dat$Column3:Dat$Row20 0.0239583 0.0569228 0.421 0.67390
## Dat$HeightM:Dat$Column3:Dat$Row20 0.0628194 0.0569228 1.104 0.26997
## Dat$HeightL:Dat$Column4:Dat$Row20 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row20 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row21 0.0131250 0.0544821 0.241 0.80967
## Dat$HeightM:Dat$Column2:Dat$Row21 -0.0027139 0.0549789 -0.049 0.96064
## Dat$HeightL:Dat$Column3:Dat$Row21 0.0390417 0.0544821 0.717 0.47375
## Dat$HeightM:Dat$Column3:Dat$Row21 -0.0155472 0.0549789 -0.283 0.77739
## Dat$HeightL:Dat$Column4:Dat$Row21 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row21 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row22 -0.0416250 0.0569228 -0.731 0.46475
## Dat$HeightM:Dat$Column2:Dat$Row22 -0.0757639 0.0569228 -1.331 0.18342
## Dat$HeightL:Dat$Column3:Dat$Row22 -0.0824583 0.0569228 -1.449 0.14769
## Dat$HeightM:Dat$Column3:Dat$Row22 -0.1093472 0.0569228 -1.921 0.05495
## Dat$HeightL:Dat$Column4:Dat$Row22 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row22 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row23 -0.0437917 0.0569228 -0.769 0.44184
## Dat$HeightM:Dat$Column2:Dat$Row23 -0.0174306 0.0581047 -0.300 0.76424
## Dat$HeightL:Dat$Column3:Dat$Row23 -0.1037917 0.0569228 -1.823 0.06847
## Dat$HeightM:Dat$Column3:Dat$Row23 -0.1676806 0.0581047 -2.886 0.00397
## Dat$HeightL:Dat$Column4:Dat$Row23 -0.0654333 0.0579485 -1.129 0.25904
## Dat$HeightM:Dat$Column4:Dat$Row23 -0.0895476 0.0585487 -1.529 0.12639
## Dat$HeightL:Dat$Column2:Dat$Row24 -0.0287083 0.0592631 -0.484 0.62817
## Dat$HeightM:Dat$Column2:Dat$Row24 -0.0254972 0.0585708 -0.435 0.66340
## Dat$HeightL:Dat$Column3:Dat$Row24 -0.0610417 0.0569228 -1.072 0.28376
## Dat$HeightM:Dat$Column3:Dat$Row24 -0.0603306 0.0562017 -1.073 0.28326
## Dat$HeightL:Dat$Column4:Dat$Row24 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row24 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row25 0.0108750 0.0569228 0.191 0.84852
## Dat$HeightM:Dat$Column2:Dat$Row25 0.0502361 0.0569228 0.883 0.37765
## Dat$HeightL:Dat$Column3:Dat$Row25 0.0639583 0.0569228 1.124 0.26139
## Dat$HeightM:Dat$Column3:Dat$Row25 0.0545694 0.0569228 0.959 0.33791
## Dat$HeightL:Dat$Column4:Dat$Row25 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row25 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row26 -0.0544583 0.0615144 -0.885 0.37616
## Dat$HeightM:Dat$Column2:Dat$Row26 0.0036528 0.0615144 0.059 0.95266
## Dat$HeightL:Dat$Column3:Dat$Row26 -0.0326250 0.0592631 -0.551 0.58206
## Dat$HeightM:Dat$Column3:Dat$Row26 -0.0002639 0.0592631 -0.004 0.99645
## Dat$HeightL:Dat$Column4:Dat$Row26 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row26 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row27 0.0397917 0.0569228 0.699 0.48465
## Dat$HeightM:Dat$Column2:Dat$Row27 0.0329028 0.0569228 0.578 0.56335
## Dat$HeightL:Dat$Column3:Dat$Row27 -0.0033750 0.0592631 -0.057 0.95459
## Dat$HeightM:Dat$Column3:Dat$Row27 -0.0310139 0.0592631 -0.523 0.60084
## Dat$HeightL:Dat$Column4:Dat$Row27 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row27 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row28 -0.0864583 0.0569228 -1.519 0.12904
## Dat$HeightM:Dat$Column2:Dat$Row28 -0.0665972 0.0569228 -1.170 0.24223
## Dat$HeightL:Dat$Column3:Dat$Row28 -0.1129583 0.0569228 -1.984 0.04742
## Dat$HeightM:Dat$Column3:Dat$Row28 -0.0600972 0.0569228 -1.056 0.29127
## Dat$HeightL:Dat$Column4:Dat$Row28 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row28 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row29 0.0395417 0.0557158 0.710 0.47801
## Dat$HeightM:Dat$Column2:Dat$Row29 0.0212361 0.0569228 0.373 0.70916
## Dat$HeightL:Dat$Column3:Dat$Row29 0.0203750 0.0569228 0.358 0.72045
## Dat$HeightM:Dat$Column3:Dat$Row29 0.0045694 0.0592631 0.077 0.93855
## Dat$HeightL:Dat$Column4:Dat$Row29 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row29 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row3 -0.0561250 0.0569228 -0.986 0.32432
## Dat$HeightM:Dat$Column2:Dat$Row3 -0.0137639 0.0569228 -0.242 0.80897
## Dat$HeightL:Dat$Column3:Dat$Row3 0.0103750 0.0569228 0.182 0.85540
## Dat$HeightM:Dat$Column3:Dat$Row3 -0.0195139 0.0569228 -0.343 0.73179
## Dat$HeightL:Dat$Column4:Dat$Row3 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row3 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row30 0.0162917 0.0581047 0.280 0.77923
## Dat$HeightM:Dat$Column2:Dat$Row30 0.0310694 0.0592631 0.524 0.60018
## Dat$HeightL:Dat$Column3:Dat$Row30 0.0572917 0.0569228 1.006 0.31437
## Dat$HeightM:Dat$Column3:Dat$Row30 0.0393194 0.0581047 0.677 0.49872
## Dat$HeightL:Dat$Column4:Dat$Row30 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row30 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row31 0.0048452 0.0522066 0.093 0.92607
## Dat$HeightM:Dat$Column2:Dat$Row31 0.0376111 0.0525773 0.715 0.47452
## Dat$HeightL:Dat$Column3:Dat$Row31 0.0838452 0.0522066 1.606 0.10851
## Dat$HeightM:Dat$Column3:Dat$Row31 0.0141111 0.0525773 0.268 0.78844
## Dat$HeightL:Dat$Column4:Dat$Row31 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row31 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row32 -0.0529583 0.0569228 -0.930 0.35236
## Dat$HeightM:Dat$Column2:Dat$Row32 -0.0195972 0.0569228 -0.344 0.73069
## Dat$HeightL:Dat$Column3:Dat$Row32 -0.0820417 0.0569228 -1.441 0.14974
## Dat$HeightM:Dat$Column3:Dat$Row32 -0.0984306 0.0569228 -1.729 0.08401
## Dat$HeightL:Dat$Column4:Dat$Row32 -0.0339333 0.0579485 -0.586 0.55826
## Dat$HeightM:Dat$Column4:Dat$Row32 -0.0435476 0.0573759 -0.759 0.44800
## Dat$HeightL:Dat$Column2:Dat$Row33 -0.0873750 0.0569228 -1.535 0.12503
## Dat$HeightM:Dat$Column2:Dat$Row33 -0.0885139 0.0569228 -1.555 0.12019
## Dat$HeightL:Dat$Column3:Dat$Row33 0.0045417 0.0569228 0.080 0.93642
## Dat$HeightM:Dat$Column3:Dat$Row33 -0.0123472 0.0569228 -0.217 0.82831
## Dat$HeightL:Dat$Column4:Dat$Row33 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row33 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row34 0.0269583 0.0569228 0.474 0.63587
## Dat$HeightM:Dat$Column2:Dat$Row34 -0.0054306 0.0569228 -0.095 0.92401
## Dat$HeightL:Dat$Column3:Dat$Row34 -0.0210417 0.0569228 -0.370 0.71170
## Dat$HeightM:Dat$Column3:Dat$Row34 -0.0431806 0.0569228 -0.759 0.44824
## Dat$HeightL:Dat$Column4:Dat$Row34 -0.0334333 0.0579485 -0.577 0.56407
## Dat$HeightM:Dat$Column4:Dat$Row34 -0.0090476 0.0573759 -0.158 0.87473
## Dat$HeightL:Dat$Column2:Dat$Row35 0.0412917 0.0557158 0.741 0.45876
## Dat$HeightM:Dat$Column2:Dat$Row35 0.0446528 0.0557158 0.801 0.42302
## Dat$HeightL:Dat$Column3:Dat$Row35 0.0772917 0.0557158 1.387 0.16560
## Dat$HeightM:Dat$Column3:Dat$Row35 0.0554028 0.0557158 0.994 0.32022
## Dat$HeightL:Dat$Column4:Dat$Row35 0.0100667 0.0567634 0.177 0.85927
## Dat$HeightM:Dat$Column4:Dat$Row35 -0.0262976 0.0561787 -0.468 0.63979
## Dat$HeightL:Dat$Column2:Dat$Row36 -0.0405417 0.0581047 -0.698 0.48547
## Dat$HeightM:Dat$Column2:Dat$Row36 -0.0030139 0.0569228 -0.053 0.95778
## Dat$HeightL:Dat$Column3:Dat$Row36 -0.0691250 0.0581047 -1.190 0.23439
## Dat$HeightM:Dat$Column3:Dat$Row36 -0.0650972 0.0569228 -1.144 0.25300
## Dat$HeightL:Dat$Column4:Dat$Row36 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row36 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row37 -0.0014583 0.0581047 -0.025 0.97998
## Dat$HeightM:Dat$Column2:Dat$Row37 -0.0490139 0.0569228 -0.861 0.38936
## Dat$HeightL:Dat$Column3:Dat$Row37 0.0175417 0.0581047 0.302 0.76278
## Dat$HeightM:Dat$Column3:Dat$Row37 -0.0525139 0.0569228 -0.923 0.35641
## Dat$HeightL:Dat$Column4:Dat$Row37 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row37 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row38 -0.0467083 0.0581047 -0.804 0.42162
## Dat$HeightM:Dat$Column2:Dat$Row38 -0.1388472 0.0592631 -2.343 0.01928
## Dat$HeightL:Dat$Column3:Dat$Row38 0.0097083 0.0592631 0.164 0.86990
## Dat$HeightM:Dat$Column3:Dat$Row38 -0.0988472 0.0603992 -1.637 0.10196
## Dat$HeightL:Dat$Column4:Dat$Row38 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row38 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row39 -0.0482917 0.0569228 -0.848 0.39639
## Dat$HeightM:Dat$Column2:Dat$Row39 -0.0319306 0.0569228 -0.561 0.57493
## Dat$HeightL:Dat$Column3:Dat$Row39 -0.0521250 0.0569228 -0.916 0.35999
## Dat$HeightM:Dat$Column3:Dat$Row39 -0.0632639 0.0569228 -1.111 0.26660
## Dat$HeightL:Dat$Column4:Dat$Row39 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row39 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row4 -0.0302917 0.0557158 -0.544 0.58675
## Dat$HeightM:Dat$Column2:Dat$Row4 -0.0706806 0.0569228 -1.242 0.21457
## Dat$HeightL:Dat$Column3:Dat$Row4 0.0017917 0.0557158 0.032 0.97435
## Dat$HeightM:Dat$Column3:Dat$Row4 -0.1005972 0.0569228 -1.767 0.07742
## Dat$HeightL:Dat$Column4:Dat$Row4 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row4 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row40 -0.0112083 0.0569228 -0.197 0.84393
## Dat$HeightM:Dat$Column2:Dat$Row40 0.0529028 0.0569228 0.929 0.35286
## Dat$HeightL:Dat$Column3:Dat$Row40 -0.0725417 0.0569228 -1.274 0.20275
## Dat$HeightM:Dat$Column3:Dat$Row40 -0.0294306 0.0569228 -0.517 0.60523
## Dat$HeightL:Dat$Column4:Dat$Row40 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row40 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row41 -0.1230060 0.0541245 -2.273 0.02321
## Dat$HeightM:Dat$Column2:Dat$Row41 -0.0775972 0.0544821 -1.424 0.15461
## Dat$HeightL:Dat$Column3:Dat$Row41 -0.0660060 0.0541245 -1.220 0.22287
## Dat$HeightM:Dat$Column3:Dat$Row41 -0.0345972 0.0544821 -0.635 0.52553
## Dat$HeightL:Dat$Column4:Dat$Row41 -0.0729810 0.0587805 -1.242 0.21461
## Dat$HeightM:Dat$Column4:Dat$Row41 -0.0512976 0.0585487 -0.876 0.38111
## Dat$HeightL:Dat$Column2:Dat$Row42 -0.0598750 0.0581047 -1.030 0.30298
## Dat$HeightM:Dat$Column2:Dat$Row42 0.0170528 0.0562017 0.303 0.76162
## Dat$HeightL:Dat$Column3:Dat$Row42 -0.1101250 0.0581047 -1.895 0.05827
## Dat$HeightM:Dat$Column3:Dat$Row42 -0.0409472 0.0562017 -0.729 0.46639
## Dat$HeightL:Dat$Column4:Dat$Row42 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row42 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row43 -0.0454583 0.0569228 -0.799 0.42467
## Dat$HeightM:Dat$Column2:Dat$Row43 0.0139028 0.0569228 0.244 0.80708
## Dat$HeightL:Dat$Column3:Dat$Row43 0.0495417 0.0592631 0.836 0.40333
## Dat$HeightM:Dat$Column3:Dat$Row43 0.0164028 0.0603992 0.272 0.78599
## Dat$HeightL:Dat$Column4:Dat$Row43 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row43 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row44 0.0234583 0.0592631 0.396 0.69229
## Dat$HeightM:Dat$Column2:Dat$Row44 0.0453194 0.0592631 0.765 0.44458
## Dat$HeightL:Dat$Column3:Dat$Row44 -0.0163750 0.0592631 -0.276 0.78235
## Dat$HeightM:Dat$Column3:Dat$Row44 -0.0250139 0.0592631 -0.422 0.67303
## Dat$HeightL:Dat$Column4:Dat$Row44 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row44 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row45 -0.0554583 0.0569228 -0.974 0.33010
## Dat$HeightM:Dat$Column2:Dat$Row45 0.0566528 0.0569228 0.995 0.31980
## Dat$HeightL:Dat$Column3:Dat$Row45 -0.0379583 0.0569228 -0.667 0.50499
## Dat$HeightM:Dat$Column3:Dat$Row45 0.0149861 0.0581047 0.258 0.79651
## Dat$HeightL:Dat$Column4:Dat$Row45 -0.0651000 0.0579485 -1.123 0.26147
## Dat$HeightM:Dat$Column4:Dat$Row45 0.0060357 0.0573759 0.105 0.91624
## Dat$HeightL:Dat$Column2:Dat$Row46 0.0095417 0.0603992 0.158 0.87450
## Dat$HeightM:Dat$Column2:Dat$Row46 0.0162194 0.0585708 0.277 0.78188
## Dat$HeightL:Dat$Column3:Dat$Row46 0.0631250 0.0603992 1.045 0.29616
## Dat$HeightM:Dat$Column3:Dat$Row46 0.0630528 0.0585708 1.077 0.28189
## Dat$HeightL:Dat$Column4:Dat$Row46 0.0770667 0.0613669 1.256 0.20940
## Dat$HeightM:Dat$Column4:Dat$Row46 0.0307690 0.0590113 0.521 0.60217
## Dat$HeightL:Dat$Column2:Dat$Row47 -0.0609583 0.0569228 -1.071 0.28441
## Dat$HeightM:Dat$Column2:Dat$Row47 0.0101528 0.0569228 0.178 0.85847
## Dat$HeightL:Dat$Column3:Dat$Row47 0.0365417 0.0557158 0.656 0.51203
## Dat$HeightM:Dat$Column3:Dat$Row47 0.0259861 0.0569228 0.457 0.64810
## Dat$HeightL:Dat$Column4:Dat$Row47 0.0057333 0.0591099 0.097 0.92275
## Dat$HeightM:Dat$Column4:Dat$Row47 0.0140357 0.0573759 0.245 0.80678
## Dat$HeightL:Dat$Column2:Dat$Row48 -0.0222917 0.0592631 -0.376 0.70687
## Dat$HeightM:Dat$Column2:Dat$Row48 -0.0404306 0.0592631 -0.682 0.49522
## Dat$HeightL:Dat$Column3:Dat$Row48 -0.0377417 0.0549789 -0.686 0.49253
## Dat$HeightM:Dat$Column3:Dat$Row48 -0.0682639 0.0569228 -1.199 0.23065
## Dat$HeightL:Dat$Column4:Dat$Row48 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row48 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row49 -0.0830417 0.0569228 -1.459 0.14485
## Dat$HeightM:Dat$Column2:Dat$Row49 -0.0199306 0.0569228 -0.350 0.72630
## Dat$HeightL:Dat$Column3:Dat$Row49 -0.0735417 0.0569228 -1.292 0.19660
## Dat$HeightM:Dat$Column3:Dat$Row49 -0.0699306 0.0569228 -1.229 0.21947
## Dat$HeightL:Dat$Column4:Dat$Row49 -0.0811000 0.0579485 -1.400 0.16189
## Dat$HeightM:Dat$Column4:Dat$Row49 0.0067857 0.0573759 0.118 0.90587
## Dat$HeightL:Dat$Column2:Dat$Row5 0.0352083 0.0581047 0.606 0.54466
## Dat$HeightM:Dat$Column2:Dat$Row5 -0.0220972 0.0569228 -0.388 0.69793
## Dat$HeightL:Dat$Column3:Dat$Row5 0.0277917 0.0581047 0.478 0.63251
## Dat$HeightM:Dat$Column3:Dat$Row5 -0.0732639 0.0569228 -1.287 0.19830
## Dat$HeightL:Dat$Column4:Dat$Row5 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row5 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row50 0.0069750 0.0515326 0.135 0.89235
## Dat$HeightM:Dat$Column2:Dat$Row50 0.0394504 0.0522066 0.756 0.44999
## Dat$HeightL:Dat$Column3:Dat$Row50 0.0133917 0.0515326 0.260 0.79501
## Dat$HeightM:Dat$Column3:Dat$Row50 0.0036171 0.0522066 0.069 0.94477
## Dat$HeightL:Dat$Column4:Dat$Row50 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row50 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row6 0.0130417 0.0569228 0.229 0.81882
## Dat$HeightM:Dat$Column2:Dat$Row6 -0.0045972 0.0569228 -0.081 0.93564
## Dat$HeightL:Dat$Column3:Dat$Row6 -0.0543750 0.0569228 -0.955 0.33963
## Dat$HeightM:Dat$Column3:Dat$Row6 -0.1042639 0.0569228 -1.832 0.06723
## Dat$HeightL:Dat$Column4:Dat$Row6 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row6 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row7 -0.0152083 0.0569228 -0.267 0.78938
## Dat$HeightM:Dat$Column2:Dat$Row7 0.0061528 0.0569228 0.108 0.91394
## Dat$HeightL:Dat$Column3:Dat$Row7 0.0267083 0.0569228 0.469 0.63900
## Dat$HeightM:Dat$Column3:Dat$Row7 -0.0416806 0.0569228 -0.732 0.46416
## Dat$HeightL:Dat$Column4:Dat$Row7 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row7 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row8 -0.1012083 0.0569228 -1.778 0.07564
## Dat$HeightM:Dat$Column2:Dat$Row8 -0.0555972 0.0569228 -0.977 0.32889
## Dat$HeightL:Dat$Column3:Dat$Row8 -0.0634583 0.0569228 -1.115 0.26513
## Dat$HeightM:Dat$Column3:Dat$Row8 -0.0478472 0.0569228 -0.841 0.40075
## Dat$HeightL:Dat$Column4:Dat$Row8 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row8 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row9 -0.1150417 0.0569228 -2.021 0.04348
## Dat$HeightM:Dat$Column2:Dat$Row9 -0.0501806 0.0569228 -0.882 0.37818
## Dat$HeightL:Dat$Column3:Dat$Row9 -0.0382917 0.0557158 -0.687 0.49204
## Dat$HeightM:Dat$Column3:Dat$Row9 -0.0401806 0.0557158 -0.721 0.47093
## Dat$HeightL:Dat$Column4:Dat$Row9 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row9 NA NA NA NA
##
## (Intercept)
## Dat$HeightL
## Dat$HeightM
## Dat$Column2
## Dat$Column3
## Dat$Column4 *
## Dat$Row10
## Dat$Row11
## Dat$Row12
## Dat$Row13 **
## Dat$Row14
## Dat$Row15
## Dat$Row16
## Dat$Row17
## Dat$Row18
## Dat$Row19
## Dat$Row2
## Dat$Row20
## Dat$Row21
## Dat$Row22
## Dat$Row23 .
## Dat$Row24
## Dat$Row25
## Dat$Row26
## Dat$Row27
## Dat$Row28 **
## Dat$Row29
## Dat$Row3
## Dat$Row30
## Dat$Row31
## Dat$Row32
## Dat$Row33 *
## Dat$Row34
## Dat$Row35
## Dat$Row36
## Dat$Row37
## Dat$Row38
## Dat$Row39
## Dat$Row4
## Dat$Row40
## Dat$Row41
## Dat$Row42
## Dat$Row43
## Dat$Row44
## Dat$Row45
## Dat$Row46
## Dat$Row47
## Dat$Row48
## Dat$Row49
## Dat$Row5
## Dat$Row50
## Dat$Row6
## Dat$Row7 .
## Dat$Row8
## Dat$Row9
## Dat$HeightL:Dat$Column2
## Dat$HeightM:Dat$Column2
## Dat$HeightL:Dat$Column3
## Dat$HeightM:Dat$Column3
## Dat$HeightL:Dat$Column4
## Dat$HeightM:Dat$Column4
## Dat$HeightL:Dat$Row10
## Dat$HeightM:Dat$Row10
## Dat$HeightL:Dat$Row11
## Dat$HeightM:Dat$Row11
## Dat$HeightL:Dat$Row12
## Dat$HeightM:Dat$Row12 .
## Dat$HeightL:Dat$Row13
## Dat$HeightM:Dat$Row13 *
## Dat$HeightL:Dat$Row14
## Dat$HeightM:Dat$Row14
## Dat$HeightL:Dat$Row15
## Dat$HeightM:Dat$Row15
## Dat$HeightL:Dat$Row16
## Dat$HeightM:Dat$Row16
## Dat$HeightL:Dat$Row17
## Dat$HeightM:Dat$Row17
## Dat$HeightL:Dat$Row18 .
## Dat$HeightM:Dat$Row18 .
## Dat$HeightL:Dat$Row19
## Dat$HeightM:Dat$Row19
## Dat$HeightL:Dat$Row2
## Dat$HeightM:Dat$Row2
## Dat$HeightL:Dat$Row20
## Dat$HeightM:Dat$Row20
## Dat$HeightL:Dat$Row21
## Dat$HeightM:Dat$Row21
## Dat$HeightL:Dat$Row22
## Dat$HeightM:Dat$Row22 *
## Dat$HeightL:Dat$Row23
## Dat$HeightM:Dat$Row23 .
## Dat$HeightL:Dat$Row24
## Dat$HeightM:Dat$Row24
## Dat$HeightL:Dat$Row25
## Dat$HeightM:Dat$Row25
## Dat$HeightL:Dat$Row26
## Dat$HeightM:Dat$Row26
## Dat$HeightL:Dat$Row27
## Dat$HeightM:Dat$Row27
## Dat$HeightL:Dat$Row28 *
## Dat$HeightM:Dat$Row28
## Dat$HeightL:Dat$Row29 .
## Dat$HeightM:Dat$Row29
## Dat$HeightL:Dat$Row3
## Dat$HeightM:Dat$Row3
## Dat$HeightL:Dat$Row30
## Dat$HeightM:Dat$Row30
## Dat$HeightL:Dat$Row31
## Dat$HeightM:Dat$Row31
## Dat$HeightL:Dat$Row32
## Dat$HeightM:Dat$Row32
## Dat$HeightL:Dat$Row33
## Dat$HeightM:Dat$Row33
## Dat$HeightL:Dat$Row34
## Dat$HeightM:Dat$Row34
## Dat$HeightL:Dat$Row35 .
## Dat$HeightM:Dat$Row35
## Dat$HeightL:Dat$Row36 .
## Dat$HeightM:Dat$Row36
## Dat$HeightL:Dat$Row37
## Dat$HeightM:Dat$Row37
## Dat$HeightL:Dat$Row38
## Dat$HeightM:Dat$Row38 *
## Dat$HeightL:Dat$Row39
## Dat$HeightM:Dat$Row39
## Dat$HeightL:Dat$Row4
## Dat$HeightM:Dat$Row4
## Dat$HeightL:Dat$Row40
## Dat$HeightM:Dat$Row40
## Dat$HeightL:Dat$Row41
## Dat$HeightM:Dat$Row41
## Dat$HeightL:Dat$Row42 .
## Dat$HeightM:Dat$Row42
## Dat$HeightL:Dat$Row43
## Dat$HeightM:Dat$Row43
## Dat$HeightL:Dat$Row44
## Dat$HeightM:Dat$Row44
## Dat$HeightL:Dat$Row45
## Dat$HeightM:Dat$Row45
## Dat$HeightL:Dat$Row46
## Dat$HeightM:Dat$Row46 .
## Dat$HeightL:Dat$Row47
## Dat$HeightM:Dat$Row47
## Dat$HeightL:Dat$Row48
## Dat$HeightM:Dat$Row48
## Dat$HeightL:Dat$Row49
## Dat$HeightM:Dat$Row49
## Dat$HeightL:Dat$Row5
## Dat$HeightM:Dat$Row5
## Dat$HeightL:Dat$Row50
## Dat$HeightM:Dat$Row50
## Dat$HeightL:Dat$Row6
## Dat$HeightM:Dat$Row6
## Dat$HeightL:Dat$Row7
## Dat$HeightM:Dat$Row7
## Dat$HeightL:Dat$Row8
## Dat$HeightM:Dat$Row8
## Dat$HeightL:Dat$Row9
## Dat$HeightM:Dat$Row9
## Dat$Column2:Dat$Row10
## Dat$Column3:Dat$Row10
## Dat$Column4:Dat$Row10
## Dat$Column2:Dat$Row11
## Dat$Column3:Dat$Row11
## Dat$Column4:Dat$Row11
## Dat$Column2:Dat$Row12 .
## Dat$Column3:Dat$Row12
## Dat$Column4:Dat$Row12
## Dat$Column2:Dat$Row13 .
## Dat$Column3:Dat$Row13 *
## Dat$Column4:Dat$Row13
## Dat$Column2:Dat$Row14
## Dat$Column3:Dat$Row14
## Dat$Column4:Dat$Row14
## Dat$Column2:Dat$Row15
## Dat$Column3:Dat$Row15
## Dat$Column4:Dat$Row15
## Dat$Column2:Dat$Row16
## Dat$Column3:Dat$Row16
## Dat$Column4:Dat$Row16
## Dat$Column2:Dat$Row17
## Dat$Column3:Dat$Row17
## Dat$Column4:Dat$Row17
## Dat$Column2:Dat$Row18
## Dat$Column3:Dat$Row18
## Dat$Column4:Dat$Row18
## Dat$Column2:Dat$Row19 .
## Dat$Column3:Dat$Row19
## Dat$Column4:Dat$Row19
## Dat$Column2:Dat$Row2
## Dat$Column3:Dat$Row2 *
## Dat$Column4:Dat$Row2
## Dat$Column2:Dat$Row20
## Dat$Column3:Dat$Row20
## Dat$Column4:Dat$Row20
## Dat$Column2:Dat$Row21
## Dat$Column3:Dat$Row21
## Dat$Column4:Dat$Row21
## Dat$Column2:Dat$Row22
## Dat$Column3:Dat$Row22
## Dat$Column4:Dat$Row22
## Dat$Column2:Dat$Row23
## Dat$Column3:Dat$Row23 **
## Dat$Column4:Dat$Row23
## Dat$Column2:Dat$Row24
## Dat$Column3:Dat$Row24
## Dat$Column4:Dat$Row24
## Dat$Column2:Dat$Row25
## Dat$Column3:Dat$Row25
## Dat$Column4:Dat$Row25
## Dat$Column2:Dat$Row26
## Dat$Column3:Dat$Row26
## Dat$Column4:Dat$Row26
## Dat$Column2:Dat$Row27
## Dat$Column3:Dat$Row27
## Dat$Column4:Dat$Row27
## Dat$Column2:Dat$Row28 **
## Dat$Column3:Dat$Row28 **
## Dat$Column4:Dat$Row28
## Dat$Column2:Dat$Row29
## Dat$Column3:Dat$Row29
## Dat$Column4:Dat$Row29
## Dat$Column2:Dat$Row3
## Dat$Column3:Dat$Row3
## Dat$Column4:Dat$Row3
## Dat$Column2:Dat$Row30
## Dat$Column3:Dat$Row30
## Dat$Column4:Dat$Row30
## Dat$Column2:Dat$Row31
## Dat$Column3:Dat$Row31
## Dat$Column4:Dat$Row31
## Dat$Column2:Dat$Row32
## Dat$Column3:Dat$Row32 *
## Dat$Column4:Dat$Row32
## Dat$Column2:Dat$Row33 *
## Dat$Column3:Dat$Row33
## Dat$Column4:Dat$Row33
## Dat$Column2:Dat$Row34
## Dat$Column3:Dat$Row34
## Dat$Column4:Dat$Row34
## Dat$Column2:Dat$Row35
## Dat$Column3:Dat$Row35
## Dat$Column4:Dat$Row35
## Dat$Column2:Dat$Row36
## Dat$Column3:Dat$Row36
## Dat$Column4:Dat$Row36
## Dat$Column2:Dat$Row37
## Dat$Column3:Dat$Row37
## Dat$Column4:Dat$Row37
## Dat$Column2:Dat$Row38
## Dat$Column3:Dat$Row38
## Dat$Column4:Dat$Row38
## Dat$Column2:Dat$Row39
## Dat$Column3:Dat$Row39
## Dat$Column4:Dat$Row39
## Dat$Column2:Dat$Row4 *
## Dat$Column3:Dat$Row4
## Dat$Column4:Dat$Row4
## Dat$Column2:Dat$Row40
## Dat$Column3:Dat$Row40
## Dat$Column4:Dat$Row40
## Dat$Column2:Dat$Row41 .
## Dat$Column3:Dat$Row41
## Dat$Column4:Dat$Row41
## Dat$Column2:Dat$Row42
## Dat$Column3:Dat$Row42
## Dat$Column4:Dat$Row42
## Dat$Column2:Dat$Row43
## Dat$Column3:Dat$Row43
## Dat$Column4:Dat$Row43
## Dat$Column2:Dat$Row44
## Dat$Column3:Dat$Row44
## Dat$Column4:Dat$Row44
## Dat$Column2:Dat$Row45
## Dat$Column3:Dat$Row45
## Dat$Column4:Dat$Row45
## Dat$Column2:Dat$Row46
## Dat$Column3:Dat$Row46
## Dat$Column4:Dat$Row46 .
## Dat$Column2:Dat$Row47
## Dat$Column3:Dat$Row47
## Dat$Column4:Dat$Row47 .
## Dat$Column2:Dat$Row48
## Dat$Column3:Dat$Row48
## Dat$Column4:Dat$Row48
## Dat$Column2:Dat$Row49 *
## Dat$Column3:Dat$Row49 .
## Dat$Column4:Dat$Row49
## Dat$Column2:Dat$Row5
## Dat$Column3:Dat$Row5
## Dat$Column4:Dat$Row5
## Dat$Column2:Dat$Row50
## Dat$Column3:Dat$Row50
## Dat$Column4:Dat$Row50
## Dat$Column2:Dat$Row6
## Dat$Column3:Dat$Row6
## Dat$Column4:Dat$Row6
## Dat$Column2:Dat$Row7
## Dat$Column3:Dat$Row7
## Dat$Column4:Dat$Row7
## Dat$Column2:Dat$Row8
## Dat$Column3:Dat$Row8
## Dat$Column4:Dat$Row8
## Dat$Column2:Dat$Row9 *
## Dat$Column3:Dat$Row9
## Dat$Column4:Dat$Row9
## Dat$HeightL:Dat$Column2:Dat$Row10
## Dat$HeightM:Dat$Column2:Dat$Row10
## Dat$HeightL:Dat$Column3:Dat$Row10
## Dat$HeightM:Dat$Column3:Dat$Row10
## Dat$HeightL:Dat$Column4:Dat$Row10
## Dat$HeightM:Dat$Column4:Dat$Row10
## Dat$HeightL:Dat$Column2:Dat$Row11
## Dat$HeightM:Dat$Column2:Dat$Row11
## Dat$HeightL:Dat$Column3:Dat$Row11
## Dat$HeightM:Dat$Column3:Dat$Row11
## Dat$HeightL:Dat$Column4:Dat$Row11
## Dat$HeightM:Dat$Column4:Dat$Row11
## Dat$HeightL:Dat$Column2:Dat$Row12 **
## Dat$HeightM:Dat$Column2:Dat$Row12 *
## Dat$HeightL:Dat$Column3:Dat$Row12
## Dat$HeightM:Dat$Column3:Dat$Row12 *
## Dat$HeightL:Dat$Column4:Dat$Row12
## Dat$HeightM:Dat$Column4:Dat$Row12
## Dat$HeightL:Dat$Column2:Dat$Row13
## Dat$HeightM:Dat$Column2:Dat$Row13 .
## Dat$HeightL:Dat$Column3:Dat$Row13
## Dat$HeightM:Dat$Column3:Dat$Row13
## Dat$HeightL:Dat$Column4:Dat$Row13
## Dat$HeightM:Dat$Column4:Dat$Row13
## Dat$HeightL:Dat$Column2:Dat$Row14
## Dat$HeightM:Dat$Column2:Dat$Row14
## Dat$HeightL:Dat$Column3:Dat$Row14
## Dat$HeightM:Dat$Column3:Dat$Row14
## Dat$HeightL:Dat$Column4:Dat$Row14
## Dat$HeightM:Dat$Column4:Dat$Row14
## Dat$HeightL:Dat$Column2:Dat$Row15
## Dat$HeightM:Dat$Column2:Dat$Row15
## Dat$HeightL:Dat$Column3:Dat$Row15
## Dat$HeightM:Dat$Column3:Dat$Row15
## Dat$HeightL:Dat$Column4:Dat$Row15
## Dat$HeightM:Dat$Column4:Dat$Row15
## Dat$HeightL:Dat$Column2:Dat$Row16
## Dat$HeightM:Dat$Column2:Dat$Row16
## Dat$HeightL:Dat$Column3:Dat$Row16
## Dat$HeightM:Dat$Column3:Dat$Row16
## Dat$HeightL:Dat$Column4:Dat$Row16
## Dat$HeightM:Dat$Column4:Dat$Row16
## Dat$HeightL:Dat$Column2:Dat$Row17
## Dat$HeightM:Dat$Column2:Dat$Row17
## Dat$HeightL:Dat$Column3:Dat$Row17
## Dat$HeightM:Dat$Column3:Dat$Row17
## Dat$HeightL:Dat$Column4:Dat$Row17
## Dat$HeightM:Dat$Column4:Dat$Row17
## Dat$HeightL:Dat$Column2:Dat$Row18
## Dat$HeightM:Dat$Column2:Dat$Row18
## Dat$HeightL:Dat$Column3:Dat$Row18
## Dat$HeightM:Dat$Column3:Dat$Row18
## Dat$HeightL:Dat$Column4:Dat$Row18
## Dat$HeightM:Dat$Column4:Dat$Row18
## Dat$HeightL:Dat$Column2:Dat$Row19 *
## Dat$HeightM:Dat$Column2:Dat$Row19
## Dat$HeightL:Dat$Column3:Dat$Row19
## Dat$HeightM:Dat$Column3:Dat$Row19
## Dat$HeightL:Dat$Column4:Dat$Row19
## Dat$HeightM:Dat$Column4:Dat$Row19
## Dat$HeightL:Dat$Column2:Dat$Row2
## Dat$HeightM:Dat$Column2:Dat$Row2
## Dat$HeightL:Dat$Column3:Dat$Row2 .
## Dat$HeightM:Dat$Column3:Dat$Row2 *
## Dat$HeightL:Dat$Column4:Dat$Row2
## Dat$HeightM:Dat$Column4:Dat$Row2
## Dat$HeightL:Dat$Column2:Dat$Row20
## Dat$HeightM:Dat$Column2:Dat$Row20
## Dat$HeightL:Dat$Column3:Dat$Row20
## Dat$HeightM:Dat$Column3:Dat$Row20
## Dat$HeightL:Dat$Column4:Dat$Row20
## Dat$HeightM:Dat$Column4:Dat$Row20
## Dat$HeightL:Dat$Column2:Dat$Row21
## Dat$HeightM:Dat$Column2:Dat$Row21
## Dat$HeightL:Dat$Column3:Dat$Row21
## Dat$HeightM:Dat$Column3:Dat$Row21
## Dat$HeightL:Dat$Column4:Dat$Row21
## Dat$HeightM:Dat$Column4:Dat$Row21
## Dat$HeightL:Dat$Column2:Dat$Row22
## Dat$HeightM:Dat$Column2:Dat$Row22
## Dat$HeightL:Dat$Column3:Dat$Row22
## Dat$HeightM:Dat$Column3:Dat$Row22 .
## Dat$HeightL:Dat$Column4:Dat$Row22
## Dat$HeightM:Dat$Column4:Dat$Row22
## Dat$HeightL:Dat$Column2:Dat$Row23
## Dat$HeightM:Dat$Column2:Dat$Row23
## Dat$HeightL:Dat$Column3:Dat$Row23 .
## Dat$HeightM:Dat$Column3:Dat$Row23 **
## Dat$HeightL:Dat$Column4:Dat$Row23
## Dat$HeightM:Dat$Column4:Dat$Row23
## Dat$HeightL:Dat$Column2:Dat$Row24
## Dat$HeightM:Dat$Column2:Dat$Row24
## Dat$HeightL:Dat$Column3:Dat$Row24
## Dat$HeightM:Dat$Column3:Dat$Row24
## Dat$HeightL:Dat$Column4:Dat$Row24
## Dat$HeightM:Dat$Column4:Dat$Row24
## Dat$HeightL:Dat$Column2:Dat$Row25
## Dat$HeightM:Dat$Column2:Dat$Row25
## Dat$HeightL:Dat$Column3:Dat$Row25
## Dat$HeightM:Dat$Column3:Dat$Row25
## Dat$HeightL:Dat$Column4:Dat$Row25
## Dat$HeightM:Dat$Column4:Dat$Row25
## Dat$HeightL:Dat$Column2:Dat$Row26
## Dat$HeightM:Dat$Column2:Dat$Row26
## Dat$HeightL:Dat$Column3:Dat$Row26
## Dat$HeightM:Dat$Column3:Dat$Row26
## Dat$HeightL:Dat$Column4:Dat$Row26
## Dat$HeightM:Dat$Column4:Dat$Row26
## Dat$HeightL:Dat$Column2:Dat$Row27
## Dat$HeightM:Dat$Column2:Dat$Row27
## Dat$HeightL:Dat$Column3:Dat$Row27
## Dat$HeightM:Dat$Column3:Dat$Row27
## Dat$HeightL:Dat$Column4:Dat$Row27
## Dat$HeightM:Dat$Column4:Dat$Row27
## Dat$HeightL:Dat$Column2:Dat$Row28
## Dat$HeightM:Dat$Column2:Dat$Row28
## Dat$HeightL:Dat$Column3:Dat$Row28 *
## Dat$HeightM:Dat$Column3:Dat$Row28
## Dat$HeightL:Dat$Column4:Dat$Row28
## Dat$HeightM:Dat$Column4:Dat$Row28
## Dat$HeightL:Dat$Column2:Dat$Row29
## Dat$HeightM:Dat$Column2:Dat$Row29
## Dat$HeightL:Dat$Column3:Dat$Row29
## Dat$HeightM:Dat$Column3:Dat$Row29
## Dat$HeightL:Dat$Column4:Dat$Row29
## Dat$HeightM:Dat$Column4:Dat$Row29
## Dat$HeightL:Dat$Column2:Dat$Row3
## Dat$HeightM:Dat$Column2:Dat$Row3
## Dat$HeightL:Dat$Column3:Dat$Row3
## Dat$HeightM:Dat$Column3:Dat$Row3
## Dat$HeightL:Dat$Column4:Dat$Row3
## Dat$HeightM:Dat$Column4:Dat$Row3
## Dat$HeightL:Dat$Column2:Dat$Row30
## Dat$HeightM:Dat$Column2:Dat$Row30
## Dat$HeightL:Dat$Column3:Dat$Row30
## Dat$HeightM:Dat$Column3:Dat$Row30
## Dat$HeightL:Dat$Column4:Dat$Row30
## Dat$HeightM:Dat$Column4:Dat$Row30
## Dat$HeightL:Dat$Column2:Dat$Row31
## Dat$HeightM:Dat$Column2:Dat$Row31
## Dat$HeightL:Dat$Column3:Dat$Row31
## Dat$HeightM:Dat$Column3:Dat$Row31
## Dat$HeightL:Dat$Column4:Dat$Row31
## Dat$HeightM:Dat$Column4:Dat$Row31
## Dat$HeightL:Dat$Column2:Dat$Row32
## Dat$HeightM:Dat$Column2:Dat$Row32
## Dat$HeightL:Dat$Column3:Dat$Row32
## Dat$HeightM:Dat$Column3:Dat$Row32 .
## Dat$HeightL:Dat$Column4:Dat$Row32
## Dat$HeightM:Dat$Column4:Dat$Row32
## Dat$HeightL:Dat$Column2:Dat$Row33
## Dat$HeightM:Dat$Column2:Dat$Row33
## Dat$HeightL:Dat$Column3:Dat$Row33
## Dat$HeightM:Dat$Column3:Dat$Row33
## Dat$HeightL:Dat$Column4:Dat$Row33
## Dat$HeightM:Dat$Column4:Dat$Row33
## Dat$HeightL:Dat$Column2:Dat$Row34
## Dat$HeightM:Dat$Column2:Dat$Row34
## Dat$HeightL:Dat$Column3:Dat$Row34
## Dat$HeightM:Dat$Column3:Dat$Row34
## Dat$HeightL:Dat$Column4:Dat$Row34
## Dat$HeightM:Dat$Column4:Dat$Row34
## Dat$HeightL:Dat$Column2:Dat$Row35
## Dat$HeightM:Dat$Column2:Dat$Row35
## Dat$HeightL:Dat$Column3:Dat$Row35
## Dat$HeightM:Dat$Column3:Dat$Row35
## Dat$HeightL:Dat$Column4:Dat$Row35
## Dat$HeightM:Dat$Column4:Dat$Row35
## Dat$HeightL:Dat$Column2:Dat$Row36
## Dat$HeightM:Dat$Column2:Dat$Row36
## Dat$HeightL:Dat$Column3:Dat$Row36
## Dat$HeightM:Dat$Column3:Dat$Row36
## Dat$HeightL:Dat$Column4:Dat$Row36
## Dat$HeightM:Dat$Column4:Dat$Row36
## Dat$HeightL:Dat$Column2:Dat$Row37
## Dat$HeightM:Dat$Column2:Dat$Row37
## Dat$HeightL:Dat$Column3:Dat$Row37
## Dat$HeightM:Dat$Column3:Dat$Row37
## Dat$HeightL:Dat$Column4:Dat$Row37
## Dat$HeightM:Dat$Column4:Dat$Row37
## Dat$HeightL:Dat$Column2:Dat$Row38
## Dat$HeightM:Dat$Column2:Dat$Row38 *
## Dat$HeightL:Dat$Column3:Dat$Row38
## Dat$HeightM:Dat$Column3:Dat$Row38
## Dat$HeightL:Dat$Column4:Dat$Row38
## Dat$HeightM:Dat$Column4:Dat$Row38
## Dat$HeightL:Dat$Column2:Dat$Row39
## Dat$HeightM:Dat$Column2:Dat$Row39
## Dat$HeightL:Dat$Column3:Dat$Row39
## Dat$HeightM:Dat$Column3:Dat$Row39
## Dat$HeightL:Dat$Column4:Dat$Row39
## Dat$HeightM:Dat$Column4:Dat$Row39
## Dat$HeightL:Dat$Column2:Dat$Row4
## Dat$HeightM:Dat$Column2:Dat$Row4
## Dat$HeightL:Dat$Column3:Dat$Row4
## Dat$HeightM:Dat$Column3:Dat$Row4 .
## Dat$HeightL:Dat$Column4:Dat$Row4
## Dat$HeightM:Dat$Column4:Dat$Row4
## Dat$HeightL:Dat$Column2:Dat$Row40
## Dat$HeightM:Dat$Column2:Dat$Row40
## Dat$HeightL:Dat$Column3:Dat$Row40
## Dat$HeightM:Dat$Column3:Dat$Row40
## Dat$HeightL:Dat$Column4:Dat$Row40
## Dat$HeightM:Dat$Column4:Dat$Row40
## Dat$HeightL:Dat$Column2:Dat$Row41 *
## Dat$HeightM:Dat$Column2:Dat$Row41
## Dat$HeightL:Dat$Column3:Dat$Row41
## Dat$HeightM:Dat$Column3:Dat$Row41
## Dat$HeightL:Dat$Column4:Dat$Row41
## Dat$HeightM:Dat$Column4:Dat$Row41
## Dat$HeightL:Dat$Column2:Dat$Row42
## Dat$HeightM:Dat$Column2:Dat$Row42
## Dat$HeightL:Dat$Column3:Dat$Row42 .
## Dat$HeightM:Dat$Column3:Dat$Row42
## Dat$HeightL:Dat$Column4:Dat$Row42
## Dat$HeightM:Dat$Column4:Dat$Row42
## Dat$HeightL:Dat$Column2:Dat$Row43
## Dat$HeightM:Dat$Column2:Dat$Row43
## Dat$HeightL:Dat$Column3:Dat$Row43
## Dat$HeightM:Dat$Column3:Dat$Row43
## Dat$HeightL:Dat$Column4:Dat$Row43
## Dat$HeightM:Dat$Column4:Dat$Row43
## Dat$HeightL:Dat$Column2:Dat$Row44
## Dat$HeightM:Dat$Column2:Dat$Row44
## Dat$HeightL:Dat$Column3:Dat$Row44
## Dat$HeightM:Dat$Column3:Dat$Row44
## Dat$HeightL:Dat$Column4:Dat$Row44
## Dat$HeightM:Dat$Column4:Dat$Row44
## Dat$HeightL:Dat$Column2:Dat$Row45
## Dat$HeightM:Dat$Column2:Dat$Row45
## Dat$HeightL:Dat$Column3:Dat$Row45
## Dat$HeightM:Dat$Column3:Dat$Row45
## Dat$HeightL:Dat$Column4:Dat$Row45
## Dat$HeightM:Dat$Column4:Dat$Row45
## Dat$HeightL:Dat$Column2:Dat$Row46
## Dat$HeightM:Dat$Column2:Dat$Row46
## Dat$HeightL:Dat$Column3:Dat$Row46
## Dat$HeightM:Dat$Column3:Dat$Row46
## Dat$HeightL:Dat$Column4:Dat$Row46
## Dat$HeightM:Dat$Column4:Dat$Row46
## Dat$HeightL:Dat$Column2:Dat$Row47
## Dat$HeightM:Dat$Column2:Dat$Row47
## Dat$HeightL:Dat$Column3:Dat$Row47
## Dat$HeightM:Dat$Column3:Dat$Row47
## Dat$HeightL:Dat$Column4:Dat$Row47
## Dat$HeightM:Dat$Column4:Dat$Row47
## Dat$HeightL:Dat$Column2:Dat$Row48
## Dat$HeightM:Dat$Column2:Dat$Row48
## Dat$HeightL:Dat$Column3:Dat$Row48
## Dat$HeightM:Dat$Column3:Dat$Row48
## Dat$HeightL:Dat$Column4:Dat$Row48
## Dat$HeightM:Dat$Column4:Dat$Row48
## Dat$HeightL:Dat$Column2:Dat$Row49
## Dat$HeightM:Dat$Column2:Dat$Row49
## Dat$HeightL:Dat$Column3:Dat$Row49
## Dat$HeightM:Dat$Column3:Dat$Row49
## Dat$HeightL:Dat$Column4:Dat$Row49
## Dat$HeightM:Dat$Column4:Dat$Row49
## Dat$HeightL:Dat$Column2:Dat$Row5
## Dat$HeightM:Dat$Column2:Dat$Row5
## Dat$HeightL:Dat$Column3:Dat$Row5
## Dat$HeightM:Dat$Column3:Dat$Row5
## Dat$HeightL:Dat$Column4:Dat$Row5
## Dat$HeightM:Dat$Column4:Dat$Row5
## Dat$HeightL:Dat$Column2:Dat$Row50
## Dat$HeightM:Dat$Column2:Dat$Row50
## Dat$HeightL:Dat$Column3:Dat$Row50
## Dat$HeightM:Dat$Column3:Dat$Row50
## Dat$HeightL:Dat$Column4:Dat$Row50
## Dat$HeightM:Dat$Column4:Dat$Row50
## Dat$HeightL:Dat$Column2:Dat$Row6
## Dat$HeightM:Dat$Column2:Dat$Row6
## Dat$HeightL:Dat$Column3:Dat$Row6
## Dat$HeightM:Dat$Column3:Dat$Row6 .
## Dat$HeightL:Dat$Column4:Dat$Row6
## Dat$HeightM:Dat$Column4:Dat$Row6
## Dat$HeightL:Dat$Column2:Dat$Row7
## Dat$HeightM:Dat$Column2:Dat$Row7
## Dat$HeightL:Dat$Column3:Dat$Row7
## Dat$HeightM:Dat$Column3:Dat$Row7
## Dat$HeightL:Dat$Column4:Dat$Row7
## Dat$HeightM:Dat$Column4:Dat$Row7
## Dat$HeightL:Dat$Column2:Dat$Row8 .
## Dat$HeightM:Dat$Column2:Dat$Row8
## Dat$HeightL:Dat$Column3:Dat$Row8
## Dat$HeightM:Dat$Column3:Dat$Row8
## Dat$HeightL:Dat$Column4:Dat$Row8
## Dat$HeightM:Dat$Column4:Dat$Row8
## Dat$HeightL:Dat$Column2:Dat$Row9 *
## Dat$HeightM:Dat$Column2:Dat$Row9
## Dat$HeightL:Dat$Column3:Dat$Row9
## Dat$HeightM:Dat$Column3:Dat$Row9
## Dat$HeightL:Dat$Column4:Dat$Row9
## Dat$HeightM:Dat$Column4:Dat$Row9
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.04039 on 1313 degrees of freedom
## Multiple R-squared: 0.2918, Adjusted R-squared: 0.03502
## F-statistic: 1.136 on 476 and 1313 DF, p-value: 0.04295
## Analysis of Variance Table
##
## Response: Dat$Chl5
## Df Sum Sq Mean Sq F value Pr(>F)
## Dat$Height 2 791 395.31 1.8944 0.150825
## Dat$Column 3 197 65.56 0.3142 0.815149
## Dat$Row 49 156 3.19 0.0153 1.000000
## Dat$Height:Dat$Column 6 1277 212.78 1.0196 0.410662
## Dat$Height:Dat$Row 98 26884 274.33 1.3146 0.024850 *
## Dat$Column:Dat$Row 106 23892 225.40 1.0801 0.279036
## Dat$Height:Dat$Column:Dat$Row 212 59481 280.57 1.3445 0.001572 **
## Residuals 1313 273994 208.68
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Call:
## lm(formula = Dat$Chl5 ~ Dat$Height * Dat$Column * Dat$Row)
##
## Residuals:
## Min 1Q Median 3Q Max
## -39.120 -8.180 0.611 9.069 35.808
##
## Coefficients: (123 not defined because of singularities)
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 9.14598 5.10732 1.791 0.073562
## Dat$HeightL -14.31022 7.01934 -2.039 0.041682
## Dat$HeightM -11.88889 7.01934 -1.694 0.090553
## Dat$Column2 -8.87426 9.77978 -0.907 0.364357
## Dat$Column3 -12.35740 9.77978 -1.264 0.206610
## Dat$Column4 -5.44769 9.77978 -0.557 0.577598
## Dat$Row10 -5.86751 8.84614 -0.663 0.507265
## Dat$Row11 -19.51653 7.22284 -2.702 0.006980
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## Dat$Row15 3.97689 9.77978 0.407 0.684336
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## Dat$Row17 4.79854 13.18705 0.364 0.716004
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## Dat$Row2 -13.07547 9.77978 -1.337 0.181457
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## Dat$Row21 -9.40818 8.84614 -1.064 0.287735
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## Dat$Row23 -7.92831 9.77978 -0.811 0.417694
## Dat$Row24 -19.27456 9.77978 -1.971 0.048950
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## Dat$Column4:Dat$Row28 NA NA NA NA
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## Dat$Column4:Dat$Row31 NA NA NA NA
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## Dat$HeightL:Dat$Column4:Dat$Row11 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row11 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row12 11.19194 20.35823 0.550 0.582584
## Dat$HeightM:Dat$Column2:Dat$Row12 6.32528 20.35823 0.311 0.756079
## Dat$HeightL:Dat$Column3:Dat$Row12 4.41469 20.78094 0.212 0.831797
## Dat$HeightM:Dat$Column3:Dat$Row12 15.46128 20.35823 0.759 0.447713
## Dat$HeightL:Dat$Column4:Dat$Row12 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row12 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row13 -21.66931 21.19521 -1.022 0.306795
## Dat$HeightM:Dat$Column2:Dat$Row13 -47.51497 21.19521 -2.242 0.025142
## Dat$HeightL:Dat$Column3:Dat$Row13 -9.51939 21.60155 -0.441 0.659517
## Dat$HeightM:Dat$Column3:Dat$Row13 -11.79222 22.39211 -0.527 0.598544
## Dat$HeightL:Dat$Column4:Dat$Row13 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row13 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row14 -3.41856 20.35823 -0.168 0.866672
## Dat$HeightM:Dat$Column2:Dat$Row14 -27.42897 20.35823 -1.347 0.178111
## Dat$HeightL:Dat$Column3:Dat$Row14 29.64786 20.35823 1.456 0.145546
## Dat$HeightM:Dat$Column3:Dat$Row14 28.63469 20.35823 1.407 0.159800
## Dat$HeightL:Dat$Column4:Dat$Row14 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row14 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row15 -4.66989 20.35823 -0.229 0.818605
## Dat$HeightM:Dat$Column2:Dat$Row15 -3.72681 20.35823 -0.183 0.854778
## Dat$HeightL:Dat$Column3:Dat$Row15 -7.06422 20.35823 -0.347 0.728650
## Dat$HeightM:Dat$Column3:Dat$Row15 -0.80214 20.35823 -0.039 0.968577
## Dat$HeightL:Dat$Column4:Dat$Row15 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row15 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row16 -8.65764 21.60155 -0.401 0.688642
## Dat$HeightM:Dat$Column2:Dat$Row16 -18.99597 20.78094 -0.914 0.360829
## Dat$HeightL:Dat$Column3:Dat$Row16 -19.64289 21.60155 -0.909 0.363344
## Dat$HeightM:Dat$Column3:Dat$Row16 -13.07047 20.78094 -0.629 0.529482
## Dat$HeightL:Dat$Column4:Dat$Row16 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row16 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row17 6.19933 22.84064 0.271 0.786113
## Dat$HeightM:Dat$Column2:Dat$Row17 -10.43292 22.84064 -0.457 0.647912
## Dat$HeightL:Dat$Column3:Dat$Row17 NA NA NA NA
## Dat$HeightM:Dat$Column3:Dat$Row17 NA NA NA NA
## Dat$HeightL:Dat$Column4:Dat$Row17 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row17 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row18 11.83011 20.35823 0.581 0.561275
## Dat$HeightM:Dat$Column2:Dat$Row18 -6.37781 20.35823 -0.313 0.754118
## Dat$HeightL:Dat$Column3:Dat$Row18 -31.67714 21.60155 -1.466 0.142771
## Dat$HeightM:Dat$Column3:Dat$Row18 -7.19656 20.78094 -0.346 0.729169
## Dat$HeightL:Dat$Column4:Dat$Row18 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row18 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row19 -24.60981 20.35823 -1.209 0.226943
## Dat$HeightM:Dat$Column2:Dat$Row19 -45.37922 20.35823 -2.229 0.025980
## Dat$HeightL:Dat$Column3:Dat$Row19 -23.28422 20.35823 -1.144 0.252946
## Dat$HeightM:Dat$Column3:Dat$Row19 -22.62914 20.35823 -1.112 0.266536
## Dat$HeightL:Dat$Column4:Dat$Row19 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row19 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row2 -19.20189 20.35823 -0.943 0.345752
## Dat$HeightM:Dat$Column2:Dat$Row2 -19.99756 20.35823 -0.982 0.326141
## Dat$HeightL:Dat$Column3:Dat$Row2 -25.60222 20.35823 -1.258 0.208765
## Dat$HeightM:Dat$Column3:Dat$Row2 -8.53789 20.35823 -0.419 0.675005
## Dat$HeightL:Dat$Column4:Dat$Row2 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row2 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row20 -16.57760 18.80407 -0.882 0.378157
## Dat$HeightM:Dat$Column2:Dat$Row20 -37.93425 18.90290 -2.007 0.044976
## Dat$HeightL:Dat$Column3:Dat$Row20 -23.74214 20.35823 -1.166 0.243738
## Dat$HeightM:Dat$Column3:Dat$Row20 -34.33831 20.35823 -1.687 0.091898
## Dat$HeightL:Dat$Column4:Dat$Row20 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row20 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row21 -36.42406 19.48532 -1.869 0.061803
## Dat$HeightM:Dat$Column2:Dat$Row21 -49.50097 19.66300 -2.517 0.011938
## Dat$HeightL:Dat$Column3:Dat$Row21 -9.30722 19.48532 -0.478 0.632977
## Dat$HeightM:Dat$Column3:Dat$Row21 -19.32039 19.66300 -0.983 0.325997
## Dat$HeightL:Dat$Column4:Dat$Row21 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row21 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row22 -42.58247 20.35823 -2.092 0.036661
## Dat$HeightM:Dat$Column2:Dat$Row22 -64.09214 20.35823 -3.148 0.001680
## Dat$HeightL:Dat$Column3:Dat$Row22 -18.79939 20.35823 -0.923 0.355953
## Dat$HeightM:Dat$Column3:Dat$Row22 -10.50456 20.35823 -0.516 0.605951
## Dat$HeightL:Dat$Column4:Dat$Row22 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row22 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row23 24.84828 20.35823 1.221 0.222475
## Dat$HeightM:Dat$Column2:Dat$Row23 -14.93589 20.78094 -0.719 0.472435
## Dat$HeightL:Dat$Column3:Dat$Row23 -0.89731 20.35823 -0.044 0.964851
## Dat$HeightM:Dat$Column3:Dat$Row23 30.99228 20.78094 1.491 0.136102
## Dat$HeightL:Dat$Column4:Dat$Row23 17.09560 20.72507 0.825 0.409592
## Dat$HeightM:Dat$Column4:Dat$Row23 27.74319 20.93972 1.325 0.185432
## Dat$HeightL:Dat$Column2:Dat$Row24 -18.80822 21.19521 -0.887 0.375037
## Dat$HeightM:Dat$Column2:Dat$Row24 -36.69634 20.94763 -1.752 0.080039
## Dat$HeightL:Dat$Column3:Dat$Row24 -21.24697 20.35823 -1.044 0.296837
## Dat$HeightM:Dat$Column3:Dat$Row24 -27.69459 20.10034 -1.378 0.168495
## Dat$HeightL:Dat$Column4:Dat$Row24 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row24 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row25 -33.42089 20.35823 -1.642 0.100904
## Dat$HeightM:Dat$Column2:Dat$Row25 -50.60206 20.35823 -2.486 0.013058
## Dat$HeightL:Dat$Column3:Dat$Row25 -0.83372 20.35823 -0.041 0.967340
## Dat$HeightM:Dat$Column3:Dat$Row25 -32.53339 20.35823 -1.598 0.110273
## Dat$HeightL:Dat$Column4:Dat$Row25 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row25 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row26 35.07919 22.00038 1.594 0.111069
## Dat$HeightM:Dat$Column2:Dat$Row26 0.23203 22.00038 0.011 0.991587
## Dat$HeightL:Dat$Column3:Dat$Row26 0.07311 21.19521 0.003 0.997248
## Dat$HeightM:Dat$Column3:Dat$Row26 -0.95231 21.19521 -0.045 0.964170
## Dat$HeightL:Dat$Column4:Dat$Row26 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row26 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row27 -20.48514 20.35823 -1.006 0.314488
## Dat$HeightM:Dat$Column2:Dat$Row27 -29.36231 20.35823 -1.442 0.149461
## Dat$HeightL:Dat$Column3:Dat$Row27 -8.56047 21.19521 -0.404 0.686362
## Dat$HeightM:Dat$Column3:Dat$Row27 3.77236 21.19521 0.178 0.858765
## Dat$HeightL:Dat$Column4:Dat$Row27 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row27 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row28 -21.31822 20.35823 -1.047 0.295221
## Dat$HeightM:Dat$Column2:Dat$Row28 -42.37839 20.35823 -2.082 0.037569
## Dat$HeightL:Dat$Column3:Dat$Row28 -31.14872 20.35823 -1.530 0.126250
## Dat$HeightM:Dat$Column3:Dat$Row28 -24.66514 20.35823 -1.212 0.225900
## Dat$HeightL:Dat$Column4:Dat$Row28 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row28 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row29 -4.82431 19.92656 -0.242 0.808737
## Dat$HeightM:Dat$Column2:Dat$Row29 -19.16939 20.35823 -0.942 0.346569
## Dat$HeightL:Dat$Column3:Dat$Row29 19.49428 20.35823 0.958 0.338460
## Dat$HeightM:Dat$Column3:Dat$Row29 -5.47547 21.19521 -0.258 0.796189
## Dat$HeightL:Dat$Column4:Dat$Row29 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row29 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row3 -30.17922 20.35823 -1.482 0.138471
## Dat$HeightM:Dat$Column2:Dat$Row3 -68.29689 20.35823 -3.355 0.000817
## Dat$HeightL:Dat$Column3:Dat$Row3 -30.67381 20.35823 -1.507 0.132127
## Dat$HeightM:Dat$Column3:Dat$Row3 -41.73372 20.35823 -2.050 0.040566
## Dat$HeightL:Dat$Column4:Dat$Row3 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row3 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row30 -26.47922 20.78094 -1.274 0.202815
## Dat$HeightM:Dat$Column2:Dat$Row30 -42.63931 21.19521 -2.012 0.044451
## Dat$HeightL:Dat$Column3:Dat$Row30 -34.38197 20.35823 -1.689 0.091486
## Dat$HeightM:Dat$Column3:Dat$Row30 -39.67822 20.78094 -1.909 0.056434
## Dat$HeightL:Dat$Column4:Dat$Row30 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row30 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row31 -6.37135 18.67149 -0.341 0.732982
## Dat$HeightM:Dat$Column2:Dat$Row31 -28.26885 18.80407 -1.503 0.132993
## Dat$HeightL:Dat$Column3:Dat$Row31 -7.54785 18.67149 -0.404 0.686099
## Dat$HeightM:Dat$Column3:Dat$Row31 -13.52635 18.80407 -0.719 0.472065
## Dat$HeightL:Dat$Column4:Dat$Row31 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row31 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row32 -14.67364 20.35823 -0.721 0.471178
## Dat$HeightM:Dat$Column2:Dat$Row32 -28.73931 20.35823 -1.412 0.158281
## Dat$HeightL:Dat$Column3:Dat$Row32 -10.11397 20.35823 -0.497 0.619413
## Dat$HeightM:Dat$Column3:Dat$Row32 -2.24139 20.35823 -0.110 0.912349
## Dat$HeightL:Dat$Column4:Dat$Row32 -20.86573 20.72507 -1.007 0.314223
## Dat$HeightM:Dat$Column4:Dat$Row32 3.63911 20.52029 0.177 0.859267
## Dat$HeightL:Dat$Column2:Dat$Row33 -5.83872 20.35823 -0.287 0.774311
## Dat$HeightM:Dat$Column2:Dat$Row33 -15.86364 20.35823 -0.779 0.435988
## Dat$HeightL:Dat$Column3:Dat$Row33 -30.53614 20.35823 -1.500 0.133870
## Dat$HeightM:Dat$Column3:Dat$Row33 -36.95656 20.35823 -1.815 0.069704
## Dat$HeightL:Dat$Column4:Dat$Row33 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row33 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row34 -1.66739 20.35823 -0.082 0.934737
## Dat$HeightM:Dat$Column2:Dat$Row34 -11.34156 20.35823 -0.557 0.577555
## Dat$HeightL:Dat$Column3:Dat$Row34 7.35628 20.35823 0.361 0.717902
## Dat$HeightM:Dat$Column3:Dat$Row34 8.96261 20.35823 0.440 0.659832
## Dat$HeightL:Dat$Column4:Dat$Row34 31.25860 20.72507 1.508 0.131731
## Dat$HeightM:Dat$Column4:Dat$Row34 18.83469 20.52029 0.918 0.358862
## Dat$HeightL:Dat$Column2:Dat$Row35 -4.24214 19.92656 -0.213 0.831447
## Dat$HeightM:Dat$Column2:Dat$Row35 -9.43531 19.92656 -0.474 0.635932
## Dat$HeightL:Dat$Column3:Dat$Row35 -24.05689 19.92656 -1.207 0.227543
## Dat$HeightM:Dat$Column3:Dat$Row35 -21.52906 19.92656 -1.080 0.280153
## Dat$HeightL:Dat$Column4:Dat$Row35 4.64777 20.30120 0.229 0.818951
## Dat$HeightM:Dat$Column4:Dat$Row35 19.35711 20.09210 0.963 0.335515
## Dat$HeightL:Dat$Column2:Dat$Row36 -30.74239 20.78094 -1.479 0.139285
## Dat$HeightM:Dat$Column2:Dat$Row36 -35.81214 20.35823 -1.759 0.078794
## Dat$HeightL:Dat$Column3:Dat$Row36 -18.86906 20.78094 -0.908 0.364046
## Dat$HeightM:Dat$Column3:Dat$Row36 2.41269 20.35823 0.119 0.905680
## Dat$HeightL:Dat$Column4:Dat$Row36 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row36 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row37 -8.11256 20.78094 -0.390 0.696316
## Dat$HeightM:Dat$Column2:Dat$Row37 -20.68081 20.35823 -1.016 0.309890
## Dat$HeightL:Dat$Column3:Dat$Row37 6.28878 20.78094 0.303 0.762226
## Dat$HeightM:Dat$Column3:Dat$Row37 11.25028 20.35823 0.553 0.580621
## Dat$HeightL:Dat$Column4:Dat$Row37 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row37 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row38 3.82869 20.78094 0.184 0.853853
## Dat$HeightM:Dat$Column2:Dat$Row38 4.25119 21.19521 0.201 0.841063
## Dat$HeightL:Dat$Column3:Dat$Row38 -12.65414 21.19521 -0.597 0.550592
## Dat$HeightM:Dat$Column3:Dat$Row38 22.71769 21.60155 1.052 0.293145
## Dat$HeightL:Dat$Column4:Dat$Row38 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row38 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row39 4.89861 20.35823 0.241 0.809887
## Dat$HeightM:Dat$Column2:Dat$Row39 1.45919 20.35823 0.072 0.942871
## Dat$HeightL:Dat$Column3:Dat$Row39 -23.55264 20.35823 -1.157 0.247520
## Dat$HeightM:Dat$Column3:Dat$Row39 -38.84581 20.35823 -1.908 0.056595
## Dat$HeightL:Dat$Column4:Dat$Row39 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row39 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row4 8.80019 19.92656 0.442 0.658829
## Dat$HeightM:Dat$Column2:Dat$Row4 -8.42422 20.35823 -0.414 0.679089
## Dat$HeightL:Dat$Column3:Dat$Row4 2.90544 19.92656 0.146 0.884096
## Dat$HeightM:Dat$Column3:Dat$Row4 22.35503 20.35823 1.098 0.272369
## Dat$HeightL:Dat$Column4:Dat$Row4 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row4 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row40 -59.41414 20.35823 -2.918 0.003578
## Dat$HeightM:Dat$Column2:Dat$Row40 -65.22831 20.35823 -3.204 0.001388
## Dat$HeightL:Dat$Column3:Dat$Row40 -52.02381 20.35823 -2.555 0.010718
## Dat$HeightM:Dat$Column3:Dat$Row40 -33.22697 20.35823 -1.632 0.102895
## Dat$HeightL:Dat$Column4:Dat$Row40 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row40 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row41 8.39222 19.35741 0.434 0.664693
## Dat$HeightM:Dat$Column2:Dat$Row41 -13.18806 19.48532 -0.677 0.498639
## Dat$HeightL:Dat$Column3:Dat$Row41 0.70147 19.35741 0.036 0.971098
## Dat$HeightM:Dat$Column3:Dat$Row41 6.53169 19.48532 0.335 0.737519
## Dat$HeightL:Dat$Column4:Dat$Row41 9.58671 21.02261 0.456 0.648452
## Dat$HeightM:Dat$Column4:Dat$Row41 19.85094 20.93972 0.948 0.343302
## Dat$HeightL:Dat$Column2:Dat$Row42 3.33186 20.78094 0.160 0.872644
## Dat$HeightM:Dat$Column2:Dat$Row42 -30.90569 20.10034 -1.538 0.124395
## Dat$HeightL:Dat$Column3:Dat$Row42 8.24311 20.78094 0.397 0.691678
## Dat$HeightM:Dat$Column3:Dat$Row42 -21.04494 20.10034 -1.047 0.295295
## Dat$HeightL:Dat$Column4:Dat$Row42 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row42 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row43 0.65594 20.35823 0.032 0.974301
## Dat$HeightM:Dat$Column2:Dat$Row43 -22.41872 20.35823 -1.101 0.271006
## Dat$HeightL:Dat$Column3:Dat$Row43 -5.26881 21.19521 -0.249 0.803721
## Dat$HeightM:Dat$Column3:Dat$Row43 -0.09481 21.60155 -0.004 0.996499
## Dat$HeightL:Dat$Column4:Dat$Row43 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row43 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row44 -24.17697 21.19521 -1.141 0.254211
## Dat$HeightM:Dat$Column2:Dat$Row44 -20.14839 21.19521 -0.951 0.341977
## Dat$HeightL:Dat$Column3:Dat$Row44 -27.54639 21.19521 -1.300 0.193949
## Dat$HeightM:Dat$Column3:Dat$Row44 7.18519 21.19521 0.339 0.734663
## Dat$HeightL:Dat$Column4:Dat$Row44 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row44 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row45 -10.94256 20.35823 -0.538 0.591013
## Dat$HeightM:Dat$Column2:Dat$Row45 -44.56847 20.35823 -2.189 0.028757
## Dat$HeightL:Dat$Column3:Dat$Row45 -0.42689 20.35823 -0.021 0.983274
## Dat$HeightM:Dat$Column3:Dat$Row45 -14.96731 20.78094 -0.720 0.471504
## Dat$HeightL:Dat$Column4:Dat$Row45 -11.49140 20.72507 -0.554 0.579353
## Dat$HeightM:Dat$Column4:Dat$Row45 -36.10231 20.52029 -1.759 0.078751
## Dat$HeightL:Dat$Column2:Dat$Row46 -40.53297 21.60155 -1.876 0.060823
## Dat$HeightM:Dat$Column2:Dat$Row46 -64.24526 20.94763 -3.067 0.002207
## Dat$HeightL:Dat$Column3:Dat$Row46 -42.96306 21.60155 -1.989 0.046921
## Dat$HeightM:Dat$Column3:Dat$Row46 -41.62534 20.94763 -1.987 0.047117
## Dat$HeightL:Dat$Column4:Dat$Row46 -41.37157 21.94762 -1.885 0.059649
## Dat$HeightM:Dat$Column4:Dat$Row46 -40.90834 21.10516 -1.938 0.052800
## Dat$HeightL:Dat$Column2:Dat$Row47 -33.57972 20.35823 -1.649 0.099296
## Dat$HeightM:Dat$Column2:Dat$Row47 -36.54364 20.35823 -1.795 0.072879
## Dat$HeightL:Dat$Column3:Dat$Row47 -23.95856 19.92656 -1.202 0.229447
## Dat$HeightM:Dat$Column3:Dat$Row47 -50.79456 20.35823 -2.495 0.012716
## Dat$HeightL:Dat$Column4:Dat$Row47 -18.10782 21.14045 -0.857 0.391851
## Dat$HeightM:Dat$Column4:Dat$Row47 -5.96689 20.52029 -0.291 0.771265
## Dat$HeightL:Dat$Column2:Dat$Row48 -13.64489 21.19521 -0.644 0.519836
## Dat$HeightM:Dat$Column2:Dat$Row48 -27.96231 21.19521 -1.319 0.187307
## Dat$HeightL:Dat$Column3:Dat$Row48 -27.35709 19.66300 -1.391 0.164371
## Dat$HeightM:Dat$Column3:Dat$Row48 -7.14181 20.35823 -0.351 0.725790
## Dat$HeightL:Dat$Column4:Dat$Row48 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row48 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row49 10.72811 20.35823 0.527 0.598306
## Dat$HeightM:Dat$Column2:Dat$Row49 -2.85381 20.35823 -0.140 0.888540
## Dat$HeightL:Dat$Column3:Dat$Row49 24.00569 20.35823 1.179 0.238546
## Dat$HeightM:Dat$Column3:Dat$Row49 14.64903 20.35823 0.720 0.471922
## Dat$HeightL:Dat$Column4:Dat$Row49 19.64693 20.72507 0.948 0.343315
## Dat$HeightM:Dat$Column4:Dat$Row49 9.08452 20.52029 0.443 0.658049
## Dat$HeightL:Dat$Column2:Dat$Row5 -16.90822 20.78094 -0.814 0.415998
## Dat$HeightM:Dat$Column2:Dat$Row5 -13.63514 20.35823 -0.670 0.503128
## Dat$HeightL:Dat$Column3:Dat$Row5 -39.93481 20.78094 -1.922 0.054859
## Dat$HeightM:Dat$Column3:Dat$Row5 -11.20322 20.35823 -0.550 0.582204
## Dat$HeightL:Dat$Column4:Dat$Row5 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row5 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row50 -5.29357 18.43044 -0.287 0.773990
## Dat$HeightM:Dat$Column2:Dat$Row50 -39.59000 18.67149 -2.120 0.034164
## Dat$HeightL:Dat$Column3:Dat$Row50 11.73526 18.43044 0.637 0.524410
## Dat$HeightM:Dat$Column3:Dat$Row50 -7.26466 18.67149 -0.389 0.697282
## Dat$HeightL:Dat$Column4:Dat$Row50 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row50 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row6 -30.30514 20.35823 -1.489 0.136834
## Dat$HeightM:Dat$Column2:Dat$Row6 -33.50456 20.35823 -1.646 0.100055
## Dat$HeightL:Dat$Column3:Dat$Row6 -34.96931 20.35823 -1.718 0.086087
## Dat$HeightM:Dat$Column3:Dat$Row6 2.94403 20.35823 0.145 0.885040
## Dat$HeightL:Dat$Column4:Dat$Row6 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row6 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row7 -12.50106 20.35823 -0.614 0.539286
## Dat$HeightM:Dat$Column2:Dat$Row7 -53.45247 20.35823 -2.626 0.008750
## Dat$HeightL:Dat$Column3:Dat$Row7 -49.86822 20.35823 -2.450 0.014434
## Dat$HeightM:Dat$Column3:Dat$Row7 -32.60014 20.35823 -1.601 0.109546
## Dat$HeightL:Dat$Column4:Dat$Row7 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row7 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row8 -39.09747 20.35823 -1.920 0.055014
## Dat$HeightM:Dat$Column2:Dat$Row8 -36.99064 20.35823 -1.817 0.069447
## Dat$HeightL:Dat$Column3:Dat$Row8 3.63803 20.35823 0.179 0.858200
## Dat$HeightM:Dat$Column3:Dat$Row8 5.55961 20.35823 0.273 0.784828
## Dat$HeightL:Dat$Column4:Dat$Row8 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row8 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row9 -14.11614 20.35823 -0.693 0.488189
## Dat$HeightM:Dat$Column2:Dat$Row9 -16.28231 20.35823 -0.800 0.423977
## Dat$HeightL:Dat$Column3:Dat$Row9 1.83961 19.92656 0.092 0.926458
## Dat$HeightM:Dat$Column3:Dat$Row9 4.40169 19.92656 0.221 0.825208
## Dat$HeightL:Dat$Column4:Dat$Row9 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row9 NA NA NA NA
##
## (Intercept) .
## Dat$HeightL *
## Dat$HeightM .
## Dat$Column2
## Dat$Column3
## Dat$Column4
## Dat$Row10
## Dat$Row11 **
## Dat$Row12
## Dat$Row13
## Dat$Row14
## Dat$Row15
## Dat$Row16
## Dat$Row17
## Dat$Row18 *
## Dat$Row19 .
## Dat$Row2
## Dat$Row20
## Dat$Row21
## Dat$Row22 **
## Dat$Row23
## Dat$Row24 *
## Dat$Row25 *
## Dat$Row26
## Dat$Row27
## Dat$Row28 *
## Dat$Row29
## Dat$Row3 .
## Dat$Row30 *
## Dat$Row31 .
## Dat$Row32
## Dat$Row33 *
## Dat$Row34
## Dat$Row35
## Dat$Row36
## Dat$Row37
## Dat$Row38
## Dat$Row39
## Dat$Row4
## Dat$Row40 **
## Dat$Row41
## Dat$Row42
## Dat$Row43
## Dat$Row44
## Dat$Row45
## Dat$Row46 *
## Dat$Row47
## Dat$Row48
## Dat$Row49
## Dat$Row5
## Dat$Row50
## Dat$Row6
## Dat$Row7 **
## Dat$Row8
## Dat$Row9
## Dat$HeightL:Dat$Column2
## Dat$HeightM:Dat$Column2 *
## Dat$HeightL:Dat$Column3
## Dat$HeightM:Dat$Column3
## Dat$HeightL:Dat$Column4
## Dat$HeightM:Dat$Column4
## Dat$HeightL:Dat$Row10
## Dat$HeightM:Dat$Row10
## Dat$HeightL:Dat$Row11 **
## Dat$HeightM:Dat$Row11 *
## Dat$HeightL:Dat$Row12
## Dat$HeightM:Dat$Row12
## Dat$HeightL:Dat$Row13
## Dat$HeightM:Dat$Row13
## Dat$HeightL:Dat$Row14
## Dat$HeightM:Dat$Row14
## Dat$HeightL:Dat$Row15
## Dat$HeightM:Dat$Row15
## Dat$HeightL:Dat$Row16
## Dat$HeightM:Dat$Row16
## Dat$HeightL:Dat$Row17
## Dat$HeightM:Dat$Row17
## Dat$HeightL:Dat$Row18 .
## Dat$HeightM:Dat$Row18
## Dat$HeightL:Dat$Row19 *
## Dat$HeightM:Dat$Row19 .
## Dat$HeightL:Dat$Row2
## Dat$HeightM:Dat$Row2
## Dat$HeightL:Dat$Row20 .
## Dat$HeightM:Dat$Row20
## Dat$HeightL:Dat$Row21 .
## Dat$HeightM:Dat$Row21
## Dat$HeightL:Dat$Row22 **
## Dat$HeightM:Dat$Row22 *
## Dat$HeightL:Dat$Row23
## Dat$HeightM:Dat$Row23
## Dat$HeightL:Dat$Row24
## Dat$HeightM:Dat$Row24 *
## Dat$HeightL:Dat$Row25 .
## Dat$HeightM:Dat$Row25 *
## Dat$HeightL:Dat$Row26
## Dat$HeightM:Dat$Row26
## Dat$HeightL:Dat$Row27
## Dat$HeightM:Dat$Row27
## Dat$HeightL:Dat$Row28 **
## Dat$HeightM:Dat$Row28 *
## Dat$HeightL:Dat$Row29
## Dat$HeightM:Dat$Row29
## Dat$HeightL:Dat$Row3
## Dat$HeightM:Dat$Row3 *
## Dat$HeightL:Dat$Row30 **
## Dat$HeightM:Dat$Row30 *
## Dat$HeightL:Dat$Row31
## Dat$HeightM:Dat$Row31
## Dat$HeightL:Dat$Row32
## Dat$HeightM:Dat$Row32
## Dat$HeightL:Dat$Row33
## Dat$HeightM:Dat$Row33
## Dat$HeightL:Dat$Row34
## Dat$HeightM:Dat$Row34
## Dat$HeightL:Dat$Row35 .
## Dat$HeightM:Dat$Row35
## Dat$HeightL:Dat$Row36 *
## Dat$HeightM:Dat$Row36
## Dat$HeightL:Dat$Row37
## Dat$HeightM:Dat$Row37
## Dat$HeightL:Dat$Row38
## Dat$HeightM:Dat$Row38
## Dat$HeightL:Dat$Row39
## Dat$HeightM:Dat$Row39
## Dat$HeightL:Dat$Row4
## Dat$HeightM:Dat$Row4
## Dat$HeightL:Dat$Row40 ***
## Dat$HeightM:Dat$Row40 **
## Dat$HeightL:Dat$Row41
## Dat$HeightM:Dat$Row41
## Dat$HeightL:Dat$Row42
## Dat$HeightM:Dat$Row42
## Dat$HeightL:Dat$Row43
## Dat$HeightM:Dat$Row43
## Dat$HeightL:Dat$Row44
## Dat$HeightM:Dat$Row44
## Dat$HeightL:Dat$Row45
## Dat$HeightM:Dat$Row45 .
## Dat$HeightL:Dat$Row46 *
## Dat$HeightM:Dat$Row46 **
## Dat$HeightL:Dat$Row47 .
## Dat$HeightM:Dat$Row47
## Dat$HeightL:Dat$Row48
## Dat$HeightM:Dat$Row48
## Dat$HeightL:Dat$Row49
## Dat$HeightM:Dat$Row49
## Dat$HeightL:Dat$Row5
## Dat$HeightM:Dat$Row5
## Dat$HeightL:Dat$Row50
## Dat$HeightM:Dat$Row50 *
## Dat$HeightL:Dat$Row6
## Dat$HeightM:Dat$Row6
## Dat$HeightL:Dat$Row7 **
## Dat$HeightM:Dat$Row7 **
## Dat$HeightL:Dat$Row8
## Dat$HeightM:Dat$Row8
## Dat$HeightL:Dat$Row9
## Dat$HeightM:Dat$Row9
## Dat$Column2:Dat$Row10
## Dat$Column3:Dat$Row10
## Dat$Column4:Dat$Row10
## Dat$Column2:Dat$Row11
## Dat$Column3:Dat$Row11 *
## Dat$Column4:Dat$Row11
## Dat$Column2:Dat$Row12
## Dat$Column3:Dat$Row12
## Dat$Column4:Dat$Row12
## Dat$Column2:Dat$Row13
## Dat$Column3:Dat$Row13
## Dat$Column4:Dat$Row13
## Dat$Column2:Dat$Row14
## Dat$Column3:Dat$Row14
## Dat$Column4:Dat$Row14
## Dat$Column2:Dat$Row15
## Dat$Column3:Dat$Row15
## Dat$Column4:Dat$Row15
## Dat$Column2:Dat$Row16
## Dat$Column3:Dat$Row16
## Dat$Column4:Dat$Row16
## Dat$Column2:Dat$Row17
## Dat$Column3:Dat$Row17
## Dat$Column4:Dat$Row17
## Dat$Column2:Dat$Row18
## Dat$Column3:Dat$Row18 .
## Dat$Column4:Dat$Row18
## Dat$Column2:Dat$Row19
## Dat$Column3:Dat$Row19
## Dat$Column4:Dat$Row19
## Dat$Column2:Dat$Row2
## Dat$Column3:Dat$Row2
## Dat$Column4:Dat$Row2
## Dat$Column2:Dat$Row20
## Dat$Column3:Dat$Row20
## Dat$Column4:Dat$Row20
## Dat$Column2:Dat$Row21
## Dat$Column3:Dat$Row21
## Dat$Column4:Dat$Row21
## Dat$Column2:Dat$Row22 *
## Dat$Column3:Dat$Row22
## Dat$Column4:Dat$Row22
## Dat$Column2:Dat$Row23
## Dat$Column3:Dat$Row23
## Dat$Column4:Dat$Row23
## Dat$Column2:Dat$Row24
## Dat$Column3:Dat$Row24 .
## Dat$Column4:Dat$Row24
## Dat$Column2:Dat$Row25
## Dat$Column3:Dat$Row25
## Dat$Column4:Dat$Row25
## Dat$Column2:Dat$Row26
## Dat$Column3:Dat$Row26
## Dat$Column4:Dat$Row26
## Dat$Column2:Dat$Row27
## Dat$Column3:Dat$Row27
## Dat$Column4:Dat$Row27
## Dat$Column2:Dat$Row28
## Dat$Column3:Dat$Row28
## Dat$Column4:Dat$Row28
## Dat$Column2:Dat$Row29
## Dat$Column3:Dat$Row29
## Dat$Column4:Dat$Row29
## Dat$Column2:Dat$Row3 .
## Dat$Column3:Dat$Row3 **
## Dat$Column4:Dat$Row3
## Dat$Column2:Dat$Row30
## Dat$Column3:Dat$Row30
## Dat$Column4:Dat$Row30
## Dat$Column2:Dat$Row31
## Dat$Column3:Dat$Row31
## Dat$Column4:Dat$Row31
## Dat$Column2:Dat$Row32
## Dat$Column3:Dat$Row32
## Dat$Column4:Dat$Row32
## Dat$Column2:Dat$Row33
## Dat$Column3:Dat$Row33 *
## Dat$Column4:Dat$Row33
## Dat$Column2:Dat$Row34
## Dat$Column3:Dat$Row34
## Dat$Column4:Dat$Row34
## Dat$Column2:Dat$Row35
## Dat$Column3:Dat$Row35
## Dat$Column4:Dat$Row35
## Dat$Column2:Dat$Row36
## Dat$Column3:Dat$Row36
## Dat$Column4:Dat$Row36
## Dat$Column2:Dat$Row37
## Dat$Column3:Dat$Row37
## Dat$Column4:Dat$Row37
## Dat$Column2:Dat$Row38
## Dat$Column3:Dat$Row38
## Dat$Column4:Dat$Row38
## Dat$Column2:Dat$Row39
## Dat$Column3:Dat$Row39
## Dat$Column4:Dat$Row39
## Dat$Column2:Dat$Row4
## Dat$Column3:Dat$Row4
## Dat$Column4:Dat$Row4
## Dat$Column2:Dat$Row40 **
## Dat$Column3:Dat$Row40 *
## Dat$Column4:Dat$Row40
## Dat$Column2:Dat$Row41
## Dat$Column3:Dat$Row41
## Dat$Column4:Dat$Row41
## Dat$Column2:Dat$Row42
## Dat$Column3:Dat$Row42
## Dat$Column4:Dat$Row42
## Dat$Column2:Dat$Row43
## Dat$Column3:Dat$Row43
## Dat$Column4:Dat$Row43
## Dat$Column2:Dat$Row44
## Dat$Column3:Dat$Row44
## Dat$Column4:Dat$Row44
## Dat$Column2:Dat$Row45
## Dat$Column3:Dat$Row45
## Dat$Column4:Dat$Row45
## Dat$Column2:Dat$Row46 *
## Dat$Column3:Dat$Row46 *
## Dat$Column4:Dat$Row46 .
## Dat$Column2:Dat$Row47
## Dat$Column3:Dat$Row47 *
## Dat$Column4:Dat$Row47
## Dat$Column2:Dat$Row48
## Dat$Column3:Dat$Row48
## Dat$Column4:Dat$Row48
## Dat$Column2:Dat$Row49
## Dat$Column3:Dat$Row49
## Dat$Column4:Dat$Row49
## Dat$Column2:Dat$Row5
## Dat$Column3:Dat$Row5 *
## Dat$Column4:Dat$Row5
## Dat$Column2:Dat$Row50
## Dat$Column3:Dat$Row50
## Dat$Column4:Dat$Row50
## Dat$Column2:Dat$Row6
## Dat$Column3:Dat$Row6
## Dat$Column4:Dat$Row6
## Dat$Column2:Dat$Row7
## Dat$Column3:Dat$Row7 **
## Dat$Column4:Dat$Row7
## Dat$Column2:Dat$Row8
## Dat$Column3:Dat$Row8
## Dat$Column4:Dat$Row8
## Dat$Column2:Dat$Row9
## Dat$Column3:Dat$Row9
## Dat$Column4:Dat$Row9
## Dat$HeightL:Dat$Column2:Dat$Row10
## Dat$HeightM:Dat$Column2:Dat$Row10
## Dat$HeightL:Dat$Column3:Dat$Row10
## Dat$HeightM:Dat$Column3:Dat$Row10
## Dat$HeightL:Dat$Column4:Dat$Row10
## Dat$HeightM:Dat$Column4:Dat$Row10
## Dat$HeightL:Dat$Column2:Dat$Row11
## Dat$HeightM:Dat$Column2:Dat$Row11 .
## Dat$HeightL:Dat$Column3:Dat$Row11
## Dat$HeightM:Dat$Column3:Dat$Row11 .
## Dat$HeightL:Dat$Column4:Dat$Row11
## Dat$HeightM:Dat$Column4:Dat$Row11
## Dat$HeightL:Dat$Column2:Dat$Row12
## Dat$HeightM:Dat$Column2:Dat$Row12
## Dat$HeightL:Dat$Column3:Dat$Row12
## Dat$HeightM:Dat$Column3:Dat$Row12
## Dat$HeightL:Dat$Column4:Dat$Row12
## Dat$HeightM:Dat$Column4:Dat$Row12
## Dat$HeightL:Dat$Column2:Dat$Row13
## Dat$HeightM:Dat$Column2:Dat$Row13 *
## Dat$HeightL:Dat$Column3:Dat$Row13
## Dat$HeightM:Dat$Column3:Dat$Row13
## Dat$HeightL:Dat$Column4:Dat$Row13
## Dat$HeightM:Dat$Column4:Dat$Row13
## Dat$HeightL:Dat$Column2:Dat$Row14
## Dat$HeightM:Dat$Column2:Dat$Row14
## Dat$HeightL:Dat$Column3:Dat$Row14
## Dat$HeightM:Dat$Column3:Dat$Row14
## Dat$HeightL:Dat$Column4:Dat$Row14
## Dat$HeightM:Dat$Column4:Dat$Row14
## Dat$HeightL:Dat$Column2:Dat$Row15
## Dat$HeightM:Dat$Column2:Dat$Row15
## Dat$HeightL:Dat$Column3:Dat$Row15
## Dat$HeightM:Dat$Column3:Dat$Row15
## Dat$HeightL:Dat$Column4:Dat$Row15
## Dat$HeightM:Dat$Column4:Dat$Row15
## Dat$HeightL:Dat$Column2:Dat$Row16
## Dat$HeightM:Dat$Column2:Dat$Row16
## Dat$HeightL:Dat$Column3:Dat$Row16
## Dat$HeightM:Dat$Column3:Dat$Row16
## Dat$HeightL:Dat$Column4:Dat$Row16
## Dat$HeightM:Dat$Column4:Dat$Row16
## Dat$HeightL:Dat$Column2:Dat$Row17
## Dat$HeightM:Dat$Column2:Dat$Row17
## Dat$HeightL:Dat$Column3:Dat$Row17
## Dat$HeightM:Dat$Column3:Dat$Row17
## Dat$HeightL:Dat$Column4:Dat$Row17
## Dat$HeightM:Dat$Column4:Dat$Row17
## Dat$HeightL:Dat$Column2:Dat$Row18
## Dat$HeightM:Dat$Column2:Dat$Row18
## Dat$HeightL:Dat$Column3:Dat$Row18
## Dat$HeightM:Dat$Column3:Dat$Row18
## Dat$HeightL:Dat$Column4:Dat$Row18
## Dat$HeightM:Dat$Column4:Dat$Row18
## Dat$HeightL:Dat$Column2:Dat$Row19
## Dat$HeightM:Dat$Column2:Dat$Row19 *
## Dat$HeightL:Dat$Column3:Dat$Row19
## Dat$HeightM:Dat$Column3:Dat$Row19
## Dat$HeightL:Dat$Column4:Dat$Row19
## Dat$HeightM:Dat$Column4:Dat$Row19
## Dat$HeightL:Dat$Column2:Dat$Row2
## Dat$HeightM:Dat$Column2:Dat$Row2
## Dat$HeightL:Dat$Column3:Dat$Row2
## Dat$HeightM:Dat$Column3:Dat$Row2
## Dat$HeightL:Dat$Column4:Dat$Row2
## Dat$HeightM:Dat$Column4:Dat$Row2
## Dat$HeightL:Dat$Column2:Dat$Row20
## Dat$HeightM:Dat$Column2:Dat$Row20 *
## Dat$HeightL:Dat$Column3:Dat$Row20
## Dat$HeightM:Dat$Column3:Dat$Row20 .
## Dat$HeightL:Dat$Column4:Dat$Row20
## Dat$HeightM:Dat$Column4:Dat$Row20
## Dat$HeightL:Dat$Column2:Dat$Row21 .
## Dat$HeightM:Dat$Column2:Dat$Row21 *
## Dat$HeightL:Dat$Column3:Dat$Row21
## Dat$HeightM:Dat$Column3:Dat$Row21
## Dat$HeightL:Dat$Column4:Dat$Row21
## Dat$HeightM:Dat$Column4:Dat$Row21
## Dat$HeightL:Dat$Column2:Dat$Row22 *
## Dat$HeightM:Dat$Column2:Dat$Row22 **
## Dat$HeightL:Dat$Column3:Dat$Row22
## Dat$HeightM:Dat$Column3:Dat$Row22
## Dat$HeightL:Dat$Column4:Dat$Row22
## Dat$HeightM:Dat$Column4:Dat$Row22
## Dat$HeightL:Dat$Column2:Dat$Row23
## Dat$HeightM:Dat$Column2:Dat$Row23
## Dat$HeightL:Dat$Column3:Dat$Row23
## Dat$HeightM:Dat$Column3:Dat$Row23
## Dat$HeightL:Dat$Column4:Dat$Row23
## Dat$HeightM:Dat$Column4:Dat$Row23
## Dat$HeightL:Dat$Column2:Dat$Row24
## Dat$HeightM:Dat$Column2:Dat$Row24 .
## Dat$HeightL:Dat$Column3:Dat$Row24
## Dat$HeightM:Dat$Column3:Dat$Row24
## Dat$HeightL:Dat$Column4:Dat$Row24
## Dat$HeightM:Dat$Column4:Dat$Row24
## Dat$HeightL:Dat$Column2:Dat$Row25
## Dat$HeightM:Dat$Column2:Dat$Row25 *
## Dat$HeightL:Dat$Column3:Dat$Row25
## Dat$HeightM:Dat$Column3:Dat$Row25
## Dat$HeightL:Dat$Column4:Dat$Row25
## Dat$HeightM:Dat$Column4:Dat$Row25
## Dat$HeightL:Dat$Column2:Dat$Row26
## Dat$HeightM:Dat$Column2:Dat$Row26
## Dat$HeightL:Dat$Column3:Dat$Row26
## Dat$HeightM:Dat$Column3:Dat$Row26
## Dat$HeightL:Dat$Column4:Dat$Row26
## Dat$HeightM:Dat$Column4:Dat$Row26
## Dat$HeightL:Dat$Column2:Dat$Row27
## Dat$HeightM:Dat$Column2:Dat$Row27
## Dat$HeightL:Dat$Column3:Dat$Row27
## Dat$HeightM:Dat$Column3:Dat$Row27
## Dat$HeightL:Dat$Column4:Dat$Row27
## Dat$HeightM:Dat$Column4:Dat$Row27
## Dat$HeightL:Dat$Column2:Dat$Row28
## Dat$HeightM:Dat$Column2:Dat$Row28 *
## Dat$HeightL:Dat$Column3:Dat$Row28
## Dat$HeightM:Dat$Column3:Dat$Row28
## Dat$HeightL:Dat$Column4:Dat$Row28
## Dat$HeightM:Dat$Column4:Dat$Row28
## Dat$HeightL:Dat$Column2:Dat$Row29
## Dat$HeightM:Dat$Column2:Dat$Row29
## Dat$HeightL:Dat$Column3:Dat$Row29
## Dat$HeightM:Dat$Column3:Dat$Row29
## Dat$HeightL:Dat$Column4:Dat$Row29
## Dat$HeightM:Dat$Column4:Dat$Row29
## Dat$HeightL:Dat$Column2:Dat$Row3
## Dat$HeightM:Dat$Column2:Dat$Row3 ***
## Dat$HeightL:Dat$Column3:Dat$Row3
## Dat$HeightM:Dat$Column3:Dat$Row3 *
## Dat$HeightL:Dat$Column4:Dat$Row3
## Dat$HeightM:Dat$Column4:Dat$Row3
## Dat$HeightL:Dat$Column2:Dat$Row30
## Dat$HeightM:Dat$Column2:Dat$Row30 *
## Dat$HeightL:Dat$Column3:Dat$Row30 .
## Dat$HeightM:Dat$Column3:Dat$Row30 .
## Dat$HeightL:Dat$Column4:Dat$Row30
## Dat$HeightM:Dat$Column4:Dat$Row30
## Dat$HeightL:Dat$Column2:Dat$Row31
## Dat$HeightM:Dat$Column2:Dat$Row31
## Dat$HeightL:Dat$Column3:Dat$Row31
## Dat$HeightM:Dat$Column3:Dat$Row31
## Dat$HeightL:Dat$Column4:Dat$Row31
## Dat$HeightM:Dat$Column4:Dat$Row31
## Dat$HeightL:Dat$Column2:Dat$Row32
## Dat$HeightM:Dat$Column2:Dat$Row32
## Dat$HeightL:Dat$Column3:Dat$Row32
## Dat$HeightM:Dat$Column3:Dat$Row32
## Dat$HeightL:Dat$Column4:Dat$Row32
## Dat$HeightM:Dat$Column4:Dat$Row32
## Dat$HeightL:Dat$Column2:Dat$Row33
## Dat$HeightM:Dat$Column2:Dat$Row33
## Dat$HeightL:Dat$Column3:Dat$Row33
## Dat$HeightM:Dat$Column3:Dat$Row33 .
## Dat$HeightL:Dat$Column4:Dat$Row33
## Dat$HeightM:Dat$Column4:Dat$Row33
## Dat$HeightL:Dat$Column2:Dat$Row34
## Dat$HeightM:Dat$Column2:Dat$Row34
## Dat$HeightL:Dat$Column3:Dat$Row34
## Dat$HeightM:Dat$Column3:Dat$Row34
## Dat$HeightL:Dat$Column4:Dat$Row34
## Dat$HeightM:Dat$Column4:Dat$Row34
## Dat$HeightL:Dat$Column2:Dat$Row35
## Dat$HeightM:Dat$Column2:Dat$Row35
## Dat$HeightL:Dat$Column3:Dat$Row35
## Dat$HeightM:Dat$Column3:Dat$Row35
## Dat$HeightL:Dat$Column4:Dat$Row35
## Dat$HeightM:Dat$Column4:Dat$Row35
## Dat$HeightL:Dat$Column2:Dat$Row36
## Dat$HeightM:Dat$Column2:Dat$Row36 .
## Dat$HeightL:Dat$Column3:Dat$Row36
## Dat$HeightM:Dat$Column3:Dat$Row36
## Dat$HeightL:Dat$Column4:Dat$Row36
## Dat$HeightM:Dat$Column4:Dat$Row36
## Dat$HeightL:Dat$Column2:Dat$Row37
## Dat$HeightM:Dat$Column2:Dat$Row37
## Dat$HeightL:Dat$Column3:Dat$Row37
## Dat$HeightM:Dat$Column3:Dat$Row37
## Dat$HeightL:Dat$Column4:Dat$Row37
## Dat$HeightM:Dat$Column4:Dat$Row37
## Dat$HeightL:Dat$Column2:Dat$Row38
## Dat$HeightM:Dat$Column2:Dat$Row38
## Dat$HeightL:Dat$Column3:Dat$Row38
## Dat$HeightM:Dat$Column3:Dat$Row38
## Dat$HeightL:Dat$Column4:Dat$Row38
## Dat$HeightM:Dat$Column4:Dat$Row38
## Dat$HeightL:Dat$Column2:Dat$Row39
## Dat$HeightM:Dat$Column2:Dat$Row39
## Dat$HeightL:Dat$Column3:Dat$Row39
## Dat$HeightM:Dat$Column3:Dat$Row39 .
## Dat$HeightL:Dat$Column4:Dat$Row39
## Dat$HeightM:Dat$Column4:Dat$Row39
## Dat$HeightL:Dat$Column2:Dat$Row4
## Dat$HeightM:Dat$Column2:Dat$Row4
## Dat$HeightL:Dat$Column3:Dat$Row4
## Dat$HeightM:Dat$Column3:Dat$Row4
## Dat$HeightL:Dat$Column4:Dat$Row4
## Dat$HeightM:Dat$Column4:Dat$Row4
## Dat$HeightL:Dat$Column2:Dat$Row40 **
## Dat$HeightM:Dat$Column2:Dat$Row40 **
## Dat$HeightL:Dat$Column3:Dat$Row40 *
## Dat$HeightM:Dat$Column3:Dat$Row40
## Dat$HeightL:Dat$Column4:Dat$Row40
## Dat$HeightM:Dat$Column4:Dat$Row40
## Dat$HeightL:Dat$Column2:Dat$Row41
## Dat$HeightM:Dat$Column2:Dat$Row41
## Dat$HeightL:Dat$Column3:Dat$Row41
## Dat$HeightM:Dat$Column3:Dat$Row41
## Dat$HeightL:Dat$Column4:Dat$Row41
## Dat$HeightM:Dat$Column4:Dat$Row41
## Dat$HeightL:Dat$Column2:Dat$Row42
## Dat$HeightM:Dat$Column2:Dat$Row42
## Dat$HeightL:Dat$Column3:Dat$Row42
## Dat$HeightM:Dat$Column3:Dat$Row42
## Dat$HeightL:Dat$Column4:Dat$Row42
## Dat$HeightM:Dat$Column4:Dat$Row42
## Dat$HeightL:Dat$Column2:Dat$Row43
## Dat$HeightM:Dat$Column2:Dat$Row43
## Dat$HeightL:Dat$Column3:Dat$Row43
## Dat$HeightM:Dat$Column3:Dat$Row43
## Dat$HeightL:Dat$Column4:Dat$Row43
## Dat$HeightM:Dat$Column4:Dat$Row43
## Dat$HeightL:Dat$Column2:Dat$Row44
## Dat$HeightM:Dat$Column2:Dat$Row44
## Dat$HeightL:Dat$Column3:Dat$Row44
## Dat$HeightM:Dat$Column3:Dat$Row44
## Dat$HeightL:Dat$Column4:Dat$Row44
## Dat$HeightM:Dat$Column4:Dat$Row44
## Dat$HeightL:Dat$Column2:Dat$Row45
## Dat$HeightM:Dat$Column2:Dat$Row45 *
## Dat$HeightL:Dat$Column3:Dat$Row45
## Dat$HeightM:Dat$Column3:Dat$Row45
## Dat$HeightL:Dat$Column4:Dat$Row45
## Dat$HeightM:Dat$Column4:Dat$Row45 .
## Dat$HeightL:Dat$Column2:Dat$Row46 .
## Dat$HeightM:Dat$Column2:Dat$Row46 **
## Dat$HeightL:Dat$Column3:Dat$Row46 *
## Dat$HeightM:Dat$Column3:Dat$Row46 *
## Dat$HeightL:Dat$Column4:Dat$Row46 .
## Dat$HeightM:Dat$Column4:Dat$Row46 .
## Dat$HeightL:Dat$Column2:Dat$Row47 .
## Dat$HeightM:Dat$Column2:Dat$Row47 .
## Dat$HeightL:Dat$Column3:Dat$Row47
## Dat$HeightM:Dat$Column3:Dat$Row47 *
## Dat$HeightL:Dat$Column4:Dat$Row47
## Dat$HeightM:Dat$Column4:Dat$Row47
## Dat$HeightL:Dat$Column2:Dat$Row48
## Dat$HeightM:Dat$Column2:Dat$Row48
## Dat$HeightL:Dat$Column3:Dat$Row48
## Dat$HeightM:Dat$Column3:Dat$Row48
## Dat$HeightL:Dat$Column4:Dat$Row48
## Dat$HeightM:Dat$Column4:Dat$Row48
## Dat$HeightL:Dat$Column2:Dat$Row49
## Dat$HeightM:Dat$Column2:Dat$Row49
## Dat$HeightL:Dat$Column3:Dat$Row49
## Dat$HeightM:Dat$Column3:Dat$Row49
## Dat$HeightL:Dat$Column4:Dat$Row49
## Dat$HeightM:Dat$Column4:Dat$Row49
## Dat$HeightL:Dat$Column2:Dat$Row5
## Dat$HeightM:Dat$Column2:Dat$Row5
## Dat$HeightL:Dat$Column3:Dat$Row5 .
## Dat$HeightM:Dat$Column3:Dat$Row5
## Dat$HeightL:Dat$Column4:Dat$Row5
## Dat$HeightM:Dat$Column4:Dat$Row5
## Dat$HeightL:Dat$Column2:Dat$Row50
## Dat$HeightM:Dat$Column2:Dat$Row50 *
## Dat$HeightL:Dat$Column3:Dat$Row50
## Dat$HeightM:Dat$Column3:Dat$Row50
## Dat$HeightL:Dat$Column4:Dat$Row50
## Dat$HeightM:Dat$Column4:Dat$Row50
## Dat$HeightL:Dat$Column2:Dat$Row6
## Dat$HeightM:Dat$Column2:Dat$Row6
## Dat$HeightL:Dat$Column3:Dat$Row6 .
## Dat$HeightM:Dat$Column3:Dat$Row6
## Dat$HeightL:Dat$Column4:Dat$Row6
## Dat$HeightM:Dat$Column4:Dat$Row6
## Dat$HeightL:Dat$Column2:Dat$Row7
## Dat$HeightM:Dat$Column2:Dat$Row7 **
## Dat$HeightL:Dat$Column3:Dat$Row7 *
## Dat$HeightM:Dat$Column3:Dat$Row7
## Dat$HeightL:Dat$Column4:Dat$Row7
## Dat$HeightM:Dat$Column4:Dat$Row7
## Dat$HeightL:Dat$Column2:Dat$Row8 .
## Dat$HeightM:Dat$Column2:Dat$Row8 .
## Dat$HeightL:Dat$Column3:Dat$Row8
## Dat$HeightM:Dat$Column3:Dat$Row8
## Dat$HeightL:Dat$Column4:Dat$Row8
## Dat$HeightM:Dat$Column4:Dat$Row8
## Dat$HeightL:Dat$Column2:Dat$Row9
## Dat$HeightM:Dat$Column2:Dat$Row9
## Dat$HeightL:Dat$Column3:Dat$Row9
## Dat$HeightM:Dat$Column3:Dat$Row9
## Dat$HeightL:Dat$Column4:Dat$Row9
## Dat$HeightM:Dat$Column4:Dat$Row9
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 14.45 on 1313 degrees of freedom
## Multiple R-squared: 0.2914, Adjusted R-squared: 0.03452
## F-statistic: 1.134 on 476 and 1313 DF, p-value: 0.04518
## Analysis of Variance Table
##
## Response: Dat$Flav5
## Df Sum Sq Mean Sq F value Pr(>F)
## Dat$Height 2 0.001 0.000562 0.0115 0.988538
## Dat$Column 3 0.011 0.003615 0.0742 0.973871
## Dat$Row 49 0.214 0.004364 0.0895 1.000000
## Dat$Height:Dat$Column 6 1.000 0.166608 3.4182 0.002368 **
## Dat$Height:Dat$Row 98 5.708 0.058249 1.1951 0.100948
## Dat$Column:Dat$Row 106 14.742 0.139078 2.8534 < 2.2e-16 ***
## Dat$Height:Dat$Column:Dat$Row 212 12.986 0.061253 1.2567 0.011685 *
## Residuals 1313 63.997 0.048741
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Call:
## lm(formula = Dat$Flav5 ~ Dat$Height * Dat$Column * Dat$Row)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.8110 -0.1110 0.0030 0.1157 0.6850
##
## Coefficients: (123 not defined because of singularities)
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) -0.0083366 0.0780556 -0.107 0.914961
## Dat$HeightL 0.1116191 0.1072771 1.040 0.298311
## Dat$HeightM 0.0090275 0.1072771 0.084 0.932949
## Dat$Column2 -0.0221028 0.1494650 -0.148 0.882461
## Dat$Column3 -0.0812977 0.1494650 -0.544 0.586586
## Dat$Column4 0.1883679 0.1494650 1.260 0.207792
## Dat$Row10 -0.0302292 0.1351962 -0.224 0.823107
## Dat$Row11 -0.0658848 0.1103872 -0.597 0.550709
## Dat$Row12 -0.0214896 0.1494650 -0.144 0.885699
## Dat$Row13 -0.6563886 0.1745375 -3.761 0.000177
## Dat$Row14 0.0277367 0.1494650 0.186 0.852808
## Dat$Row15 -0.0564451 0.1494650 -0.378 0.705754
## Dat$Row16 -0.0013542 0.1494650 -0.009 0.992773
## Dat$Row17 0.2994970 0.2015386 1.486 0.137505
## Dat$Row18 0.1438792 0.1494650 0.963 0.335912
## Dat$Row19 -0.0534451 0.1494650 -0.358 0.720718
## Dat$Row2 -0.1085663 0.1494650 -0.726 0.467744
## Dat$Row20 0.0398706 0.1494650 0.267 0.789699
## Dat$Row21 0.0211256 0.1351962 0.156 0.875853
## Dat$Row22 0.1036155 0.1494650 0.693 0.488280
## Dat$Row23 0.2365606 0.1494650 1.583 0.113727
## Dat$Row24 0.0523428 0.1494650 0.350 0.726244
## Dat$Row25 0.0970398 0.1494650 0.649 0.516292
## Dat$Row26 0.1062910 0.1745375 0.609 0.542639
## Dat$Row27 0.0496771 0.1494650 0.332 0.739666
## Dat$Row28 -0.2526875 0.1494650 -1.691 0.091148
## Dat$Row29 0.0990937 0.1494650 0.663 0.507454
## Dat$Row3 -0.0191117 0.1494650 -0.128 0.898273
## Dat$Row30 0.1474125 0.1494650 0.986 0.324184
## Dat$Row31 -0.0473251 0.1103872 -0.429 0.668198
## Dat$Row32 -0.0437936 0.1494650 -0.293 0.769567
## Dat$Row33 -0.2455663 0.1494650 -1.643 0.100629
## Dat$Row34 -0.3332102 0.1494650 -2.229 0.025959
## Dat$Row35 0.0730625 0.1351962 0.540 0.589000
## Dat$Row36 -0.2841354 0.1494650 -1.901 0.057519
## Dat$Row37 0.0288646 0.1494650 0.193 0.846895
## Dat$Row38 -0.0407251 0.1745375 -0.233 0.815540
## Dat$Row39 0.0344034 0.1494650 0.230 0.817990
## Dat$Row4 0.0726307 0.1351962 0.537 0.591204
## Dat$Row40 -0.1368996 0.1494650 -0.916 0.359871
## Dat$Row41 -0.0234659 0.1351962 -0.174 0.862231
## Dat$Row42 -0.2220208 0.1494650 -1.485 0.137668
## Dat$Row43 0.1659254 0.1494650 1.110 0.267147
## Dat$Row44 0.1478958 0.1745375 0.847 0.396950
## Dat$Row45 0.0803047 0.1494650 0.537 0.591164
## Dat$Row46 0.0098551 0.1745375 0.056 0.954981
## Dat$Row47 0.0606768 0.1494650 0.406 0.684838
## Dat$Row48 0.0162822 0.1494650 0.109 0.913270
## Dat$Row49 0.0419792 0.1494650 0.281 0.778860
## Dat$Row5 -0.0980729 0.1494650 -0.656 0.511836
## Dat$Row50 -0.0455428 0.1103872 -0.413 0.679987
## Dat$Row6 0.0761004 0.1494650 0.509 0.610731
## Dat$Row7 -0.3267481 0.1494650 -2.186 0.028983
## Dat$Row8 0.0344034 0.1494650 0.230 0.817990
## Dat$Row9 0.0479301 0.1494650 0.321 0.748505
## Dat$HeightL:Dat$Column2 0.0469306 0.1998521 0.235 0.814380
## Dat$HeightM:Dat$Column2 -0.0519028 0.1998521 -0.260 0.795131
## Dat$HeightL:Dat$Column3 -0.2472361 0.1998521 -1.237 0.216273
## Dat$HeightM:Dat$Column3 -0.0685694 0.1998521 -0.343 0.731577
## Dat$HeightL:Dat$Column4 -0.4407833 0.2084732 -2.114 0.034674
## Dat$HeightM:Dat$Column4 -0.3727619 0.2036865 -1.830 0.067465
## Dat$HeightL:Dat$Row10 0.0545139 0.1894177 0.288 0.773547
## Dat$HeightM:Dat$Row10 -0.2737361 0.1998521 -1.370 0.171017
## Dat$HeightL:Dat$Row11 -0.2007361 0.1499173 -1.339 0.180809
## Dat$HeightM:Dat$Row11 0.0205972 0.1517127 0.136 0.892028
## Dat$HeightL:Dat$Row12 -0.1463194 0.1998521 -0.732 0.464215
## Dat$HeightM:Dat$Row12 -0.1346528 0.1998521 -0.674 0.500581
## Dat$HeightL:Dat$Row13 0.4302639 0.2192360 1.963 0.049908
## Dat$HeightM:Dat$Row13 0.6211806 0.2192360 2.833 0.004676
## Dat$HeightL:Dat$Row14 -0.2163194 0.1998521 -1.082 0.279275
## Dat$HeightM:Dat$Row14 0.1363472 0.1998521 0.682 0.495207
## Dat$HeightL:Dat$Row15 -0.1389028 0.1998521 -0.695 0.487161
## Dat$HeightM:Dat$Row15 0.2022639 0.1998521 1.012 0.311692
## Dat$HeightL:Dat$Row16 -0.1265694 0.2283116 -0.554 0.579419
## Dat$HeightM:Dat$Row16 0.0825972 0.2097680 0.394 0.693826
## Dat$HeightL:Dat$Row17 -0.0745000 0.2549284 -0.292 0.770150
## Dat$HeightM:Dat$Row17 -0.0915000 0.2549284 -0.359 0.719709
## Dat$HeightL:Dat$Row18 -0.1597361 0.1998521 -0.799 0.424277
## Dat$HeightM:Dat$Row18 -0.0568194 0.1998521 -0.284 0.776220
## Dat$HeightL:Dat$Row19 0.2251806 0.1998521 1.127 0.260060
## Dat$HeightM:Dat$Row19 0.0275972 0.1998521 0.138 0.890192
## Dat$HeightL:Dat$Row2 0.0434306 0.1998521 0.217 0.827998
## Dat$HeightM:Dat$Row2 -0.0494028 0.1998521 -0.247 0.804795
## Dat$HeightL:Dat$Row20 0.0553472 0.1998521 0.277 0.781869
## Dat$HeightM:Dat$Row20 0.0932639 0.1998521 0.467 0.640817
## Dat$HeightL:Dat$Row21 -0.3066528 0.1783740 -1.719 0.085822
## Dat$HeightM:Dat$Row21 -0.0788194 0.1828715 -0.431 0.666532
## Dat$HeightL:Dat$Row22 -0.1840694 0.1998521 -0.921 0.357205
## Dat$HeightM:Dat$Row22 -0.1484028 0.1998521 -0.743 0.457879
## Dat$HeightL:Dat$Row23 -0.0663194 0.1998521 -0.332 0.740061
## Dat$HeightM:Dat$Row23 0.1665972 0.2097680 0.794 0.427224
## Dat$HeightL:Dat$Row24 -0.1087361 0.1998521 -0.544 0.586477
## Dat$HeightM:Dat$Row24 0.0075306 0.1936589 0.039 0.968987
## Dat$HeightL:Dat$Row25 -0.0592361 0.1998521 -0.296 0.766972
## Dat$HeightM:Dat$Row25 0.0331806 0.1998521 0.166 0.868162
## Dat$HeightL:Dat$Row26 0.1402639 0.2192360 0.640 0.522424
## Dat$HeightM:Dat$Row26 -0.1353194 0.2192360 -0.617 0.537189
## Dat$HeightL:Dat$Row27 -0.2877361 0.1998521 -1.440 0.150178
## Dat$HeightM:Dat$Row27 0.1744306 0.1998521 0.873 0.382933
## Dat$HeightL:Dat$Row28 0.1101806 0.1998521 0.551 0.581515
## Dat$HeightM:Dat$Row28 0.0025972 0.1998521 0.013 0.989633
## Dat$HeightL:Dat$Row29 -0.3611528 0.1998521 -1.807 0.070975
## Dat$HeightM:Dat$Row29 0.1202639 0.2097680 0.573 0.566527
## Dat$HeightL:Dat$Row3 -0.2792361 0.1998521 -1.397 0.162585
## Dat$HeightM:Dat$Row3 -0.1253194 0.1998521 -0.627 0.530728
## Dat$HeightL:Dat$Row30 -0.2663194 0.1998521 -1.333 0.182900
## Dat$HeightM:Dat$Row30 -0.2344028 0.2097680 -1.117 0.264011
## Dat$HeightL:Dat$Row31 0.0085139 0.1567294 0.054 0.956687
## Dat$HeightM:Dat$Row31 0.1965139 0.1603889 1.225 0.220707
## Dat$HeightL:Dat$Row32 -0.0553194 0.1998521 -0.277 0.781976
## Dat$HeightM:Dat$Row32 0.0885972 0.1998521 0.443 0.657612
## Dat$HeightL:Dat$Row33 0.2880972 0.1998521 1.442 0.149667
## Dat$HeightM:Dat$Row33 0.2325139 0.1998521 1.163 0.244866
## Dat$HeightL:Dat$Row34 0.4165972 0.1998521 2.085 0.037305
## Dat$HeightM:Dat$Row34 0.2670139 0.1998521 1.336 0.181762
## Dat$HeightL:Dat$Row35 -0.1402361 0.1894177 -0.740 0.459218
## Dat$HeightM:Dat$Row35 -0.0283194 0.1894177 -0.150 0.881176
## Dat$HeightL:Dat$Row36 0.1529306 0.2097680 0.729 0.466104
## Dat$HeightM:Dat$Row36 0.2859306 0.1998521 1.431 0.152751
## Dat$HeightL:Dat$Row37 -0.1297361 0.2097680 -0.618 0.536370
## Dat$HeightM:Dat$Row37 0.0666806 0.1998521 0.334 0.738697
## Dat$HeightL:Dat$Row38 -0.0527361 0.2192360 -0.241 0.809945
## Dat$HeightM:Dat$Row38 0.1194306 0.2192360 0.545 0.586012
## Dat$HeightL:Dat$Row39 -0.1299861 0.1998521 -0.650 0.515540
## Dat$HeightM:Dat$Row39 -0.0465694 0.1998521 -0.233 0.815783
## Dat$HeightL:Dat$Row4 -0.3434861 0.1894177 -1.813 0.070002
## Dat$HeightM:Dat$Row4 -0.1082361 0.1998521 -0.542 0.588199
## Dat$HeightL:Dat$Row40 0.2165972 0.1998521 1.084 0.278658
## Dat$HeightM:Dat$Row40 -0.1477361 0.1998521 -0.739 0.459901
## Dat$HeightL:Dat$Row41 -0.0778433 0.1750908 -0.445 0.656691
## Dat$HeightM:Dat$Row41 0.0965139 0.1783740 0.541 0.588547
## Dat$HeightL:Dat$Row42 0.2275972 0.2097680 1.085 0.278123
## Dat$HeightM:Dat$Row42 0.1922639 0.1936589 0.993 0.320992
## Dat$HeightL:Dat$Row43 -0.0194028 0.1998521 -0.097 0.922673
## Dat$HeightM:Dat$Row43 -0.1804861 0.1998521 -0.903 0.366639
## Dat$HeightL:Dat$Row44 -0.4584861 0.2192360 -2.091 0.036694
## Dat$HeightM:Dat$Row44 -0.2280694 0.2192360 -1.040 0.298396
## Dat$HeightL:Dat$Row45 -0.0048194 0.1998521 -0.024 0.980764
## Dat$HeightM:Dat$Row45 -0.0524028 0.1998521 -0.262 0.793202
## Dat$HeightL:Dat$Row46 -0.1204028 0.2283116 -0.527 0.598032
## Dat$HeightM:Dat$Row46 -0.1272694 0.2136056 -0.596 0.551401
## Dat$HeightL:Dat$Row47 -0.3085694 0.1998521 -1.544 0.122832
## Dat$HeightM:Dat$Row47 -0.1656528 0.1998521 -0.829 0.407325
## Dat$HeightL:Dat$Row48 -0.3330694 0.1998521 -1.667 0.095836
## Dat$HeightM:Dat$Row48 0.0378472 0.1998521 0.189 0.849827
## Dat$HeightL:Dat$Row49 0.0446806 0.1998521 0.224 0.823128
## Dat$HeightM:Dat$Row49 0.0793472 0.1998521 0.397 0.691410
## Dat$HeightL:Dat$Row5 -0.2030694 0.2097680 -0.968 0.333189
## Dat$HeightM:Dat$Row5 0.0084306 0.1998521 0.042 0.966358
## Dat$HeightL:Dat$Row50 -0.0792861 0.1499173 -0.529 0.596988
## Dat$HeightM:Dat$Row50 0.0871091 0.1567294 0.556 0.578447
## Dat$HeightL:Dat$Row6 -0.1849861 0.1998521 -0.926 0.354816
## Dat$HeightM:Dat$Row6 -0.0840694 0.1998521 -0.421 0.674073
## Dat$HeightL:Dat$Row7 0.3320139 0.1998521 1.661 0.096892
## Dat$HeightM:Dat$Row7 0.3436806 0.1998521 1.720 0.085727
## Dat$HeightL:Dat$Row8 -0.2823194 0.1998521 -1.413 0.157998
## Dat$HeightM:Dat$Row8 -0.0681528 0.1998521 -0.341 0.733146
## Dat$HeightL:Dat$Row9 -0.0349028 0.1998521 -0.175 0.861387
## Dat$HeightM:Dat$Row9 -0.1814861 0.1998521 -0.908 0.363991
## Dat$Column2:Dat$Row10 0.1953750 0.2253270 0.867 0.386060
## Dat$Column3:Dat$Row10 0.2483750 0.2253270 1.102 0.270539
## Dat$Column4:Dat$Row10 NA NA NA NA
## Dat$Column2:Dat$Row11 0.2043750 0.2113755 0.967 0.333781
## Dat$Column3:Dat$Row11 0.1843750 0.2113755 0.872 0.383224
## Dat$Column4:Dat$Row11 NA NA NA NA
## Dat$Column2:Dat$Row12 0.2087083 0.2341667 0.891 0.372942
## Dat$Column3:Dat$Row12 0.2177083 0.2341667 0.930 0.352689
## Dat$Column4:Dat$Row12 NA NA NA NA
## Dat$Column2:Dat$Row13 0.5767083 0.2509135 2.298 0.021694
## Dat$Column3:Dat$Row13 0.8023750 0.2509135 3.198 0.001418
## Dat$Column4:Dat$Row13 NA NA NA NA
## Dat$Column2:Dat$Row14 0.0010417 0.2341667 0.004 0.996451
## Dat$Column3:Dat$Row14 0.0113750 0.2341667 0.049 0.961264
## Dat$Column4:Dat$Row14 NA NA NA NA
## Dat$Column2:Dat$Row15 0.1183750 0.2341667 0.506 0.613281
## Dat$Column3:Dat$Row15 0.1600417 0.2341667 0.683 0.494442
## Dat$Column4:Dat$Row15 NA NA NA NA
## Dat$Column2:Dat$Row16 -0.1966250 0.2341667 -0.840 0.401241
## Dat$Column3:Dat$Row16 0.3067083 0.2341667 1.310 0.190497
## Dat$Column4:Dat$Row16 NA NA NA NA
## Dat$Column2:Dat$Row17 -0.2783333 0.2703924 -1.029 0.303496
## Dat$Column3:Dat$Row17 NA NA NA NA
## Dat$Column4:Dat$Row17 NA NA NA NA
## Dat$Column2:Dat$Row18 -0.1789583 0.2341667 -0.764 0.444865
## Dat$Column3:Dat$Row18 -0.2059583 0.2341667 -0.880 0.379271
## Dat$Column4:Dat$Row18 NA NA NA NA
## Dat$Column2:Dat$Row19 0.0567083 0.2341667 0.242 0.808686
## Dat$Column3:Dat$Row19 0.0537083 0.2341667 0.229 0.818625
## Dat$Column4:Dat$Row19 NA NA NA NA
## Dat$Column2:Dat$Row2 0.1407083 0.2341667 0.601 0.548017
## Dat$Column3:Dat$Row2 0.1527083 0.2341667 0.652 0.514428
## Dat$Column4:Dat$Row2 NA NA NA NA
## Dat$Column2:Dat$Row20 -0.1656250 0.2161261 -0.766 0.443615
## Dat$Column3:Dat$Row20 0.2270417 0.2341667 0.970 0.332438
## Dat$Column4:Dat$Row20 NA NA NA NA
## Dat$Column2:Dat$Row21 -0.0840417 0.2253270 -0.373 0.709226
## Dat$Column3:Dat$Row21 0.1119583 0.2253270 0.497 0.619364
## Dat$Column4:Dat$Row21 NA NA NA NA
## Dat$Column2:Dat$Row22 -0.0726250 0.2341667 -0.310 0.756502
## Dat$Column3:Dat$Row22 0.0917083 0.2341667 0.392 0.695390
## Dat$Column4:Dat$Row22 NA NA NA NA
## Dat$Column2:Dat$Row23 -0.3489583 0.2341667 -1.490 0.136408
## Dat$Column3:Dat$Row23 -0.0909583 0.2341667 -0.388 0.697758
## Dat$Column4:Dat$Row23 -0.3780833 0.2341667 -1.615 0.106640
## Dat$Column2:Dat$Row24 0.1395417 0.2509135 0.556 0.578214
## Dat$Column3:Dat$Row24 0.1163750 0.2341667 0.497 0.619290
## Dat$Column4:Dat$Row24 NA NA NA NA
## Dat$Column2:Dat$Row25 0.0197083 0.2341667 0.084 0.932939
## Dat$Column3:Dat$Row25 -0.1796250 0.2341667 -0.767 0.443171
## Dat$Column4:Dat$Row25 NA NA NA NA
## Dat$Column2:Dat$Row26 -0.2024583 0.2666105 -0.759 0.447762
## Dat$Column3:Dat$Row26 -0.0972917 0.2509135 -0.388 0.698264
## Dat$Column4:Dat$Row26 NA NA NA NA
## Dat$Column2:Dat$Row27 -0.1426250 0.2341667 -0.609 0.542580
## Dat$Column3:Dat$Row27 0.1118750 0.2509135 0.446 0.655764
## Dat$Column4:Dat$Row27 NA NA NA NA
## Dat$Column2:Dat$Row28 0.2690417 0.2341667 1.149 0.250793
## Dat$Column3:Dat$Row28 0.4797083 0.2341667 2.049 0.040702
## Dat$Column4:Dat$Row28 NA NA NA NA
## Dat$Column2:Dat$Row29 0.0648750 0.2253270 0.288 0.773457
## Dat$Column3:Dat$Row29 -0.0462917 0.2341667 -0.198 0.843321
## Dat$Column4:Dat$Row29 NA NA NA NA
## Dat$Column2:Dat$Row3 -0.1679583 0.2341667 -0.717 0.473341
## Dat$Column3:Dat$Row3 0.0143750 0.2341667 0.061 0.951060
## Dat$Column4:Dat$Row3 NA NA NA NA
## Dat$Column2:Dat$Row30 0.0007083 0.2341667 0.003 0.997587
## Dat$Column3:Dat$Row30 -0.0882917 0.2341667 -0.377 0.706200
## Dat$Column4:Dat$Row30 NA NA NA NA
## Dat$Column2:Dat$Row31 0.1932917 0.2113755 0.914 0.360650
## Dat$Column3:Dat$Row31 0.1326250 0.2113755 0.627 0.530481
## Dat$Column4:Dat$Row31 NA NA NA NA
## Dat$Column2:Dat$Row32 0.1183750 0.2341667 0.506 0.613281
## Dat$Column3:Dat$Row32 0.0450417 0.2341667 0.192 0.847499
## Dat$Column4:Dat$Row32 -0.1357500 0.2341667 -0.580 0.562206
## Dat$Column2:Dat$Row33 0.2330417 0.2341667 0.995 0.319825
## Dat$Column3:Dat$Row33 0.3507083 0.2341667 1.498 0.134455
## Dat$Column4:Dat$Row33 NA NA NA NA
## Dat$Column2:Dat$Row34 0.3640417 0.2341667 1.555 0.120276
## Dat$Column3:Dat$Row34 0.5590417 0.2341667 2.387 0.017110
## Dat$Column4:Dat$Row34 0.3635833 0.2341667 1.553 0.120743
## Dat$Column2:Dat$Row35 0.0066250 0.2253270 0.029 0.976549
## Dat$Column3:Dat$Row35 0.1019583 0.2253270 0.452 0.650990
## Dat$Column4:Dat$Row35 -0.2858333 0.2253270 -1.269 0.204835
## Dat$Column2:Dat$Row36 0.3570417 0.2341667 1.525 0.127567
## Dat$Column3:Dat$Row36 0.4827083 0.2341667 2.061 0.039463
## Dat$Column4:Dat$Row36 NA NA NA NA
## Dat$Column2:Dat$Row37 -0.1079583 0.2341667 -0.461 0.644852
## Dat$Column3:Dat$Row37 0.0403750 0.2341667 0.172 0.863134
## Dat$Column4:Dat$Row37 NA NA NA NA
## Dat$Column2:Dat$Row38 0.0720417 0.2426846 0.297 0.766626
## Dat$Column3:Dat$Row38 0.2555417 0.2509135 1.018 0.308654
## Dat$Column4:Dat$Row38 NA NA NA NA
## Dat$Column2:Dat$Row39 0.0773750 0.2341667 0.330 0.741130
## Dat$Column3:Dat$Row39 0.0227083 0.2341667 0.097 0.922761
## Dat$Column4:Dat$Row39 NA NA NA NA
## Dat$Column2:Dat$Row4 -0.1921250 0.2253270 -0.853 0.394009
## Dat$Column3:Dat$Row4 0.0532083 0.2253270 0.236 0.813362
## Dat$Column4:Dat$Row4 NA NA NA NA
## Dat$Column2:Dat$Row40 0.2517083 0.2341667 1.075 0.282612
## Dat$Column3:Dat$Row40 0.2157083 0.2341667 0.921 0.357129
## Dat$Column4:Dat$Row40 NA NA NA NA
## Dat$Column2:Dat$Row41 0.0707917 0.2253270 0.314 0.753440
## Dat$Column3:Dat$Row41 -0.0245417 0.2253270 -0.109 0.913286
## Dat$Column4:Dat$Row41 -0.2338333 0.2426846 -0.964 0.335460
## Dat$Column2:Dat$Row42 0.2160417 0.2341667 0.923 0.356386
## Dat$Column3:Dat$Row42 0.1633750 0.2341667 0.698 0.485497
## Dat$Column4:Dat$Row42 NA NA NA NA
## Dat$Column2:Dat$Row43 -0.4709583 0.2341667 -2.011 0.044507
## Dat$Column3:Dat$Row43 -0.3082917 0.2509135 -1.229 0.219413
## Dat$Column4:Dat$Row43 NA NA NA NA
## Dat$Column2:Dat$Row44 -0.0177917 0.2509135 -0.071 0.943482
## Dat$Column3:Dat$Row44 0.0198750 0.2509135 0.079 0.936877
## Dat$Column4:Dat$Row44 NA NA NA NA
## Dat$Column2:Dat$Row45 -0.0902917 0.2341667 -0.386 0.699865
## Dat$Column3:Dat$Row45 -0.0306250 0.2341667 -0.131 0.895967
## Dat$Column4:Dat$Row45 -0.0594167 0.2341667 -0.254 0.799739
## Dat$Column2:Dat$Row46 0.0670417 0.2509135 0.267 0.789365
## Dat$Column3:Dat$Row46 -0.1369583 0.2509135 -0.546 0.585269
## Dat$Column4:Dat$Row46 0.0085833 0.2509135 0.034 0.972716
## Dat$Column2:Dat$Row47 -0.1762917 0.2341667 -0.753 0.451677
## Dat$Column3:Dat$Row47 -0.0544583 0.2253270 -0.242 0.809061
## Dat$Column4:Dat$Row47 0.0022500 0.2341667 0.010 0.992335
## Dat$Column2:Dat$Row48 -0.0307917 0.2509135 -0.123 0.902349
## Dat$Column3:Dat$Row48 0.0640417 0.2253270 0.284 0.776289
## Dat$Column4:Dat$Row48 NA NA NA NA
## Dat$Column2:Dat$Row49 0.0687083 0.2341667 0.293 0.769250
## Dat$Column3:Dat$Row49 0.1337083 0.2341667 0.571 0.568100
## Dat$Column4:Dat$Row49 -0.0670833 0.2341667 -0.286 0.774558
## Dat$Column2:Dat$Row5 0.1980417 0.2341667 0.846 0.397858
## Dat$Column3:Dat$Row5 0.2317083 0.2341667 0.990 0.322600
## Dat$Column4:Dat$Row5 NA NA NA NA
## Dat$Column2:Dat$Row50 0.0421250 0.2113755 0.199 0.842067
## Dat$Column3:Dat$Row50 0.1907917 0.2113755 0.903 0.366893
## Dat$Column4:Dat$Row50 NA NA NA NA
## Dat$Column2:Dat$Row6 -0.1359583 0.2341667 -0.581 0.561606
## Dat$Column3:Dat$Row6 -0.0806250 0.2341667 -0.344 0.730671
## Dat$Column4:Dat$Row6 NA NA NA NA
## Dat$Column2:Dat$Row7 0.3320417 0.2341667 1.418 0.156436
## Dat$Column3:Dat$Row7 0.7057083 0.2341667 3.014 0.002630
## Dat$Column4:Dat$Row7 NA NA NA NA
## Dat$Column2:Dat$Row8 0.1047083 0.2341667 0.447 0.654838
## Dat$Column3:Dat$Row8 0.2227083 0.2341667 0.951 0.341745
## Dat$Column4:Dat$Row8 NA NA NA NA
## Dat$Column2:Dat$Row9 0.2010417 0.2341667 0.859 0.390751
## Dat$Column3:Dat$Row9 0.2012083 0.2253270 0.893 0.372041
## Dat$Column4:Dat$Row9 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row10 -0.3035139 0.3045390 -0.997 0.319126
## Dat$HeightM:Dat$Column2:Dat$Row10 0.1025694 0.3175965 0.323 0.746781
## Dat$HeightL:Dat$Column3:Dat$Row10 -0.1622639 0.3045390 -0.533 0.594250
## Dat$HeightM:Dat$Column3:Dat$Row10 0.2457361 0.3111363 0.790 0.429786
## Dat$HeightL:Dat$Column4:Dat$Row10 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row10 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row11 0.1457361 0.2816738 0.517 0.604969
## Dat$HeightM:Dat$Column2:Dat$Row11 -0.1108472 0.2826335 -0.392 0.694978
## Dat$HeightL:Dat$Column3:Dat$Row11 0.2884861 0.2816738 1.024 0.305936
## Dat$HeightM:Dat$Column3:Dat$Row11 0.1911528 0.2826335 0.676 0.498952
## Dat$HeightL:Dat$Column4:Dat$Row11 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row11 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row12 -0.0913472 0.3111363 -0.294 0.769116
## Dat$HeightM:Dat$Column2:Dat$Row12 0.0552361 0.3111363 0.178 0.859119
## Dat$HeightL:Dat$Column3:Dat$Row12 0.0554861 0.3175965 0.175 0.861337
## Dat$HeightM:Dat$Column3:Dat$Row12 0.0692361 0.3111363 0.223 0.823939
## Dat$HeightL:Dat$Column4:Dat$Row12 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row12 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row13 -0.3113472 0.3239280 -0.961 0.336648
## Dat$HeightM:Dat$Column2:Dat$Row13 -0.3642639 0.3239280 -1.125 0.260998
## Dat$HeightL:Dat$Column3:Dat$Row13 -0.1240972 0.3301380 -0.376 0.707056
## Dat$HeightM:Dat$Column3:Dat$Row13 -0.5086806 0.3422202 -1.486 0.137410
## Dat$HeightL:Dat$Column4:Dat$Row13 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row13 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row14 0.2195694 0.3111363 0.706 0.480499
## Dat$HeightM:Dat$Column2:Dat$Row14 -0.1070972 0.3111363 -0.344 0.730741
## Dat$HeightL:Dat$Column3:Dat$Row14 0.1029861 0.3111363 0.331 0.740697
## Dat$HeightM:Dat$Column3:Dat$Row14 0.0313194 0.3111363 0.101 0.919835
## Dat$HeightL:Dat$Column4:Dat$Row14 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row14 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row15 0.0254861 0.3111363 0.082 0.934728
## Dat$HeightM:Dat$Column2:Dat$Row15 -0.1064306 0.3111363 -0.342 0.732353
## Dat$HeightL:Dat$Column3:Dat$Row15 0.0633194 0.3111363 0.204 0.838768
## Dat$HeightM:Dat$Column3:Dat$Row15 -0.2025972 0.3111363 -0.651 0.515062
## Dat$HeightL:Dat$Column4:Dat$Row15 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row15 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row16 0.1714861 0.3301380 0.519 0.603543
## Dat$HeightM:Dat$Column2:Dat$Row16 0.1075694 0.3175965 0.339 0.734891
## Dat$HeightL:Dat$Column3:Dat$Row16 0.2029028 0.3301380 0.615 0.538926
## Dat$HeightM:Dat$Column3:Dat$Row16 -0.3217639 0.3175965 -1.013 0.311189
## Dat$HeightL:Dat$Column4:Dat$Row16 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row16 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row17 -0.2014167 0.3490751 -0.577 0.564038
## Dat$HeightM:Dat$Column2:Dat$Row17 0.1795833 0.3490751 0.514 0.607021
## Dat$HeightL:Dat$Column3:Dat$Row17 NA NA NA NA
## Dat$HeightM:Dat$Column3:Dat$Row17 NA NA NA NA
## Dat$HeightL:Dat$Column4:Dat$Row17 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row17 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row18 -0.1316806 0.3111363 -0.423 0.672201
## Dat$HeightM:Dat$Column2:Dat$Row18 0.0496528 0.3111363 0.160 0.873232
## Dat$HeightL:Dat$Column3:Dat$Row18 0.7495694 0.3301380 2.270 0.023340
## Dat$HeightM:Dat$Column3:Dat$Row18 0.2836528 0.3175965 0.893 0.371955
## Dat$HeightL:Dat$Column4:Dat$Row18 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row18 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row19 -0.4038472 0.3111363 -1.298 0.194524
## Dat$HeightM:Dat$Column2:Dat$Row19 0.0914861 0.3111363 0.294 0.768775
## Dat$HeightL:Dat$Column3:Dat$Row19 -0.1913472 0.3111363 -0.615 0.538665
## Dat$HeightM:Dat$Column3:Dat$Row19 0.1524861 0.3111363 0.490 0.624149
## Dat$HeightL:Dat$Column4:Dat$Row19 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row19 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row2 -0.2535972 0.3111363 -0.815 0.415181
## Dat$HeightM:Dat$Column2:Dat$Row2 0.1117361 0.3111363 0.359 0.719561
## Dat$HeightL:Dat$Column3:Dat$Row2 0.1764028 0.3111363 0.567 0.570836
## Dat$HeightM:Dat$Column3:Dat$Row2 0.3419861 0.3111363 1.099 0.271903
## Dat$HeightL:Dat$Column4:Dat$Row2 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row2 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row20 -0.0266389 0.2873840 -0.093 0.926160
## Dat$HeightM:Dat$Column2:Dat$Row20 -0.0531448 0.2888943 -0.184 0.854074
## Dat$HeightL:Dat$Column3:Dat$Row20 -0.0876806 0.3111363 -0.282 0.778135
## Dat$HeightM:Dat$Column3:Dat$Row20 -0.2423472 0.3111363 -0.779 0.436173
## Dat$HeightL:Dat$Column4:Dat$Row20 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row20 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row21 0.5575694 0.2977956 1.872 0.061384
## Dat$HeightM:Dat$Column2:Dat$Row21 0.1229861 0.3005111 0.409 0.682418
## Dat$HeightL:Dat$Column3:Dat$Row21 0.3730694 0.2977956 1.253 0.210512
## Dat$HeightM:Dat$Column3:Dat$Row21 0.1802361 0.3005111 0.600 0.548766
## Dat$HeightL:Dat$Column4:Dat$Row21 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row21 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row22 -0.1697639 0.3111363 -0.546 0.585416
## Dat$HeightM:Dat$Column2:Dat$Row22 0.1613194 0.3111363 0.518 0.604207
## Dat$HeightL:Dat$Column3:Dat$Row22 0.0341528 0.3111363 0.110 0.912610
## Dat$HeightM:Dat$Column3:Dat$Row22 0.3342361 0.3111363 1.074 0.282911
## Dat$HeightL:Dat$Column4:Dat$Row22 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row22 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row23 -0.0189306 0.3111363 -0.061 0.951493
## Dat$HeightM:Dat$Column2:Dat$Row23 -0.0010972 0.3175965 -0.003 0.997244
## Dat$HeightL:Dat$Column3:Dat$Row23 -0.0804306 0.3111363 -0.259 0.796057
## Dat$HeightM:Dat$Column3:Dat$Row23 -0.1685972 0.3175965 -0.531 0.595610
## Dat$HeightL:Dat$Column4:Dat$Row23 0.3992833 0.3167428 1.261 0.207680
## Dat$HeightM:Dat$Column4:Dat$Row23 -0.0469881 0.3200233 -0.147 0.883291
## Dat$HeightL:Dat$Column2:Dat$Row24 -0.6239306 0.3239280 -1.926 0.054303
## Dat$HeightM:Dat$Column2:Dat$Row24 -0.2734472 0.3201441 -0.854 0.393184
## Dat$HeightL:Dat$Column3:Dat$Row24 0.2329861 0.3111363 0.749 0.454098
## Dat$HeightM:Dat$Column3:Dat$Row24 0.0979694 0.3071949 0.319 0.749841
## Dat$HeightL:Dat$Column4:Dat$Row24 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row24 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row25 -0.0278472 0.3111363 -0.090 0.928697
## Dat$HeightM:Dat$Column2:Dat$Row25 -0.1107639 0.3111363 -0.356 0.721899
## Dat$HeightL:Dat$Column3:Dat$Row25 0.1194861 0.3111363 0.384 0.701017
## Dat$HeightM:Dat$Column3:Dat$Row25 0.0063194 0.3111363 0.020 0.983798
## Dat$HeightL:Dat$Column4:Dat$Row25 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row25 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row26 -0.3301806 0.3362334 -0.982 0.326282
## Dat$HeightM:Dat$Column2:Dat$Row26 0.1541528 0.3362334 0.458 0.646691
## Dat$HeightL:Dat$Column3:Dat$Row26 0.0159028 0.3239280 0.049 0.960852
## Dat$HeightM:Dat$Column3:Dat$Row26 0.3424861 0.3239280 1.057 0.290573
## Dat$HeightL:Dat$Column4:Dat$Row26 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row26 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row27 0.1182361 0.3111363 0.380 0.703997
## Dat$HeightM:Dat$Column2:Dat$Row27 -0.1734306 0.3111363 -0.557 0.577342
## Dat$HeightL:Dat$Column3:Dat$Row27 0.4329861 0.3239280 1.337 0.181561
## Dat$HeightM:Dat$Column3:Dat$Row27 -0.0859306 0.3239280 -0.265 0.790838
## Dat$HeightL:Dat$Column4:Dat$Row27 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row27 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row28 -0.1454306 0.3111363 -0.467 0.640279
## Dat$HeightM:Dat$Column2:Dat$Row28 0.0606528 0.3111363 0.195 0.845470
## Dat$HeightL:Dat$Column3:Dat$Row28 0.1644028 0.3111363 0.528 0.597315
## Dat$HeightM:Dat$Column3:Dat$Row28 -0.1225139 0.3111363 -0.394 0.693820
## Dat$HeightL:Dat$Column4:Dat$Row28 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row28 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row29 -0.0432639 0.3045390 -0.142 0.887052
## Dat$HeightM:Dat$Column2:Dat$Row29 -0.1209306 0.3111363 -0.389 0.697580
## Dat$HeightL:Dat$Column3:Dat$Row29 0.3344028 0.3111363 1.075 0.282671
## Dat$HeightM:Dat$Column3:Dat$Row29 0.0179028 0.3239280 0.055 0.955934
## Dat$HeightL:Dat$Column4:Dat$Row29 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row29 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row3 0.4180694 0.3111363 1.344 0.179282
## Dat$HeightM:Dat$Column2:Dat$Row3 0.6699028 0.3111363 2.153 0.031494
## Dat$HeightL:Dat$Column3:Dat$Row3 0.6819861 0.3111363 2.192 0.028560
## Dat$HeightM:Dat$Column3:Dat$Row3 0.2935694 0.3111363 0.944 0.345578
## Dat$HeightL:Dat$Column4:Dat$Row3 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row3 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row30 0.1006528 0.3175965 0.317 0.751354
## Dat$HeightM:Dat$Column2:Dat$Row30 0.2739028 0.3239280 0.846 0.397948
## Dat$HeightL:Dat$Column3:Dat$Row30 0.4011528 0.3111363 1.289 0.197516
## Dat$HeightM:Dat$Column3:Dat$Row30 0.0664861 0.3175965 0.209 0.834214
## Dat$HeightL:Dat$Column4:Dat$Row30 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row30 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row31 -0.3611806 0.2853577 -1.266 0.205841
## Dat$HeightM:Dat$Column2:Dat$Row31 -0.2521806 0.2873840 -0.878 0.380374
## Dat$HeightL:Dat$Column3:Dat$Row31 -0.0132639 0.2853577 -0.046 0.962933
## Dat$HeightM:Dat$Column3:Dat$Row31 -0.3567639 0.2873840 -1.241 0.214673
## Dat$HeightL:Dat$Column4:Dat$Row31 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row31 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row32 -0.1517639 0.3111363 -0.488 0.625792
## Dat$HeightM:Dat$Column2:Dat$Row32 0.2288194 0.3111363 0.735 0.462208
## Dat$HeightL:Dat$Column3:Dat$Row32 0.2140694 0.3111363 0.688 0.491559
## Dat$HeightM:Dat$Column3:Dat$Row32 0.2354028 0.3111363 0.757 0.449431
## Dat$HeightL:Dat$Column4:Dat$Row32 0.2332000 0.3167428 0.736 0.461714
## Dat$HeightM:Dat$Column4:Dat$Row32 0.2339286 0.3136130 0.746 0.455852
## Dat$HeightL:Dat$Column2:Dat$Row33 -0.4931806 0.3111363 -1.585 0.113186
## Dat$HeightM:Dat$Column2:Dat$Row33 -0.2658472 0.3111363 -0.854 0.393017
## Dat$HeightL:Dat$Column3:Dat$Row33 0.0834028 0.3111363 0.268 0.788696
## Dat$HeightM:Dat$Column3:Dat$Row33 -0.1957639 0.3111363 -0.629 0.529334
## Dat$HeightL:Dat$Column4:Dat$Row33 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row33 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row34 -0.3269306 0.3111363 -1.051 0.293561
## Dat$HeightM:Dat$Column2:Dat$Row34 -0.2830972 0.3111363 -0.910 0.363052
## Dat$HeightL:Dat$Column3:Dat$Row34 -0.4524306 0.3111363 -1.454 0.146151
## Dat$HeightM:Dat$Column3:Dat$Row34 -0.4578472 0.3111363 -1.472 0.141387
## Dat$HeightL:Dat$Column4:Dat$Row34 -0.2618833 0.3167428 -0.827 0.408500
## Dat$HeightM:Dat$Column4:Dat$Row34 -0.1041548 0.3136130 -0.332 0.739857
## Dat$HeightL:Dat$Column2:Dat$Row35 -0.0945139 0.3045390 -0.310 0.756344
## Dat$HeightM:Dat$Column2:Dat$Row35 0.2143194 0.3045390 0.704 0.481713
## Dat$HeightL:Dat$Column3:Dat$Row35 0.1311528 0.3045390 0.431 0.666786
## Dat$HeightM:Dat$Column3:Dat$Row35 -0.0070139 0.3045390 -0.023 0.981629
## Dat$HeightL:Dat$Column4:Dat$Row35 0.3240333 0.3102647 1.044 0.296503
## Dat$HeightM:Dat$Column4:Dat$Row35 0.4932619 0.3070689 1.606 0.108436
## Dat$HeightL:Dat$Column2:Dat$Row36 -0.2808472 0.3175965 -0.884 0.376702
## Dat$HeightM:Dat$Column2:Dat$Row36 -0.3055972 0.3111363 -0.982 0.326184
## Dat$HeightL:Dat$Column3:Dat$Row36 -0.0232639 0.3175965 -0.073 0.941618
## Dat$HeightM:Dat$Column3:Dat$Row36 -0.3957639 0.3111363 -1.272 0.203600
## Dat$HeightL:Dat$Column4:Dat$Row36 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row36 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row37 0.3735694 0.3175965 1.176 0.239713
## Dat$HeightM:Dat$Column2:Dat$Row37 -0.2075972 0.3111363 -0.667 0.504747
## Dat$HeightL:Dat$Column3:Dat$Row37 0.2124861 0.3175965 0.669 0.503585
## Dat$HeightM:Dat$Column3:Dat$Row37 0.0423194 0.3111363 0.136 0.891830
## Dat$HeightL:Dat$Column4:Dat$Row37 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row37 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row38 -0.1721806 0.3175965 -0.542 0.587817
## Dat$HeightM:Dat$Column2:Dat$Row38 -0.1714306 0.3239280 -0.529 0.596739
## Dat$HeightL:Dat$Column3:Dat$Row38 0.0008194 0.3239280 0.003 0.997982
## Dat$HeightM:Dat$Column3:Dat$Row38 -0.1659306 0.3301380 -0.503 0.615323
## Dat$HeightL:Dat$Column4:Dat$Row38 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row38 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row39 -0.2887639 0.3111363 -0.928 0.353529
## Dat$HeightM:Dat$Column2:Dat$Row39 -0.0656806 0.3111363 -0.211 0.832843
## Dat$HeightL:Dat$Column3:Dat$Row39 0.2831528 0.3111363 0.910 0.362958
## Dat$HeightM:Dat$Column3:Dat$Row39 0.3117361 0.3111363 1.002 0.316563
## Dat$HeightL:Dat$Column4:Dat$Row39 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row39 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row4 0.3382361 0.3045390 1.111 0.266923
## Dat$HeightM:Dat$Column2:Dat$Row4 0.1809861 0.3111363 0.582 0.560873
## Dat$HeightL:Dat$Column3:Dat$Row4 0.5699028 0.3045390 1.871 0.061517
## Dat$HeightM:Dat$Column3:Dat$Row4 0.3071528 0.3111363 0.987 0.323728
## Dat$HeightL:Dat$Column4:Dat$Row4 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row4 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row40 -0.4120972 0.3111363 -1.324 0.185570
## Dat$HeightM:Dat$Column2:Dat$Row40 0.2569861 0.3111363 0.826 0.408977
## Dat$HeightL:Dat$Column3:Dat$Row40 -0.1405972 0.3111363 -0.452 0.651428
## Dat$HeightM:Dat$Column3:Dat$Row40 0.2029861 0.3111363 0.652 0.514256
## Dat$HeightL:Dat$Column4:Dat$Row40 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row40 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row41 0.0954266 0.2958407 0.323 0.747079
## Dat$HeightM:Dat$Column2:Dat$Row41 0.0520694 0.2977956 0.175 0.861225
## Dat$HeightL:Dat$Column3:Dat$Row41 0.3780099 0.2958407 1.278 0.201564
## Dat$HeightM:Dat$Column3:Dat$Row41 0.0531528 0.2977956 0.178 0.858368
## Dat$HeightL:Dat$Column4:Dat$Row41 0.3833905 0.3212900 1.193 0.232973
## Dat$HeightM:Dat$Column4:Dat$Row41 0.2053452 0.3200233 0.642 0.521208
## Dat$HeightL:Dat$Column2:Dat$Row42 -0.7171806 0.3175965 -2.258 0.024100
## Dat$HeightM:Dat$Column2:Dat$Row42 -0.1875972 0.3071949 -0.611 0.541518
## Dat$HeightL:Dat$Column3:Dat$Row42 0.6524861 0.3175965 2.054 0.040130
## Dat$HeightM:Dat$Column3:Dat$Row42 0.0838194 0.3071949 0.273 0.785008
## Dat$HeightL:Dat$Column4:Dat$Row42 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row42 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row43 0.1273194 0.3111363 0.409 0.682454
## Dat$HeightM:Dat$Column2:Dat$Row43 0.3306528 0.3111363 1.063 0.288101
## Dat$HeightL:Dat$Column3:Dat$Row43 0.3269028 0.3239280 1.009 0.313073
## Dat$HeightM:Dat$Column3:Dat$Row43 0.8996528 0.3301380 2.725 0.006514
## Dat$HeightL:Dat$Column4:Dat$Row43 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row43 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row44 0.4056528 0.3239280 1.252 0.210686
## Dat$HeightM:Dat$Column2:Dat$Row44 0.1364861 0.3239280 0.421 0.673571
## Dat$HeightL:Dat$Column3:Dat$Row44 0.5889861 0.3239280 1.818 0.069252
## Dat$HeightM:Dat$Column3:Dat$Row44 0.0090694 0.3239280 0.028 0.977668
## Dat$HeightL:Dat$Column4:Dat$Row44 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row44 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row45 -0.0380972 0.3111363 -0.122 0.902565
## Dat$HeightM:Dat$Column2:Dat$Row45 0.0854861 0.3111363 0.275 0.783548
## Dat$HeightL:Dat$Column3:Dat$Row45 -0.2010139 0.3111363 -0.646 0.518351
## Dat$HeightM:Dat$Column3:Dat$Row45 0.1052361 0.3175965 0.331 0.740432
## Dat$HeightL:Dat$Column4:Dat$Row45 0.3528667 0.3167428 1.114 0.265462
## Dat$HeightM:Dat$Column4:Dat$Row45 0.2490952 0.3136130 0.794 0.427178
## Dat$HeightL:Dat$Column2:Dat$Row46 0.2172361 0.3301380 0.658 0.510643
## Dat$HeightM:Dat$Column2:Dat$Row46 0.3108528 0.3201441 0.971 0.331738
## Dat$HeightL:Dat$Column3:Dat$Row46 0.1927361 0.3301380 0.584 0.559452
## Dat$HeightM:Dat$Column3:Dat$Row46 0.4296028 0.3201441 1.342 0.179859
## Dat$HeightL:Dat$Column4:Dat$Row46 0.2660333 0.3354271 0.793 0.427852
## Dat$HeightM:Dat$Column4:Dat$Row46 0.3835452 0.3225517 1.189 0.234617
## Dat$HeightL:Dat$Column2:Dat$Row47 0.4869028 0.3111363 1.565 0.117843
## Dat$HeightM:Dat$Column2:Dat$Row47 0.5034861 0.3111363 1.618 0.105856
## Dat$HeightL:Dat$Column3:Dat$Row47 0.3045694 0.3045390 1.000 0.317446
## Dat$HeightM:Dat$Column3:Dat$Row47 0.3749861 0.3111363 1.205 0.228337
## Dat$HeightL:Dat$Column4:Dat$Row47 0.5986167 0.3230910 1.853 0.064138
## Dat$HeightM:Dat$Column4:Dat$Row47 0.3916786 0.3136130 1.249 0.211916
## Dat$HeightL:Dat$Column2:Dat$Row48 0.4961528 0.3239280 1.532 0.125843
## Dat$HeightM:Dat$Column2:Dat$Row48 0.2179861 0.3239280 0.673 0.501100
## Dat$HeightL:Dat$Column3:Dat$Row48 0.3425694 0.3005111 1.140 0.254513
## Dat$HeightM:Dat$Column3:Dat$Row48 -0.1496806 0.3111363 -0.481 0.630542
## Dat$HeightL:Dat$Column4:Dat$Row48 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row48 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row49 -0.3095972 0.3111363 -0.995 0.319894
## Dat$HeightM:Dat$Column2:Dat$Row49 -0.0790139 0.3111363 -0.254 0.799572
## Dat$HeightL:Dat$Column3:Dat$Row49 -0.0405972 0.3111363 -0.130 0.896206
## Dat$HeightM:Dat$Column3:Dat$Row49 -0.0765139 0.3111363 -0.246 0.805784
## Dat$HeightL:Dat$Column4:Dat$Row49 -0.0304667 0.3167428 -0.096 0.923386
## Dat$HeightM:Dat$Column4:Dat$Row49 -0.0727381 0.3136130 -0.232 0.816624
## Dat$HeightL:Dat$Column2:Dat$Row5 -0.1093472 0.3175965 -0.344 0.730679
## Dat$HeightM:Dat$Column2:Dat$Row5 0.0369028 0.3111363 0.119 0.905605
## Dat$HeightL:Dat$Column3:Dat$Row5 0.4862361 0.3175965 1.531 0.126014
## Dat$HeightM:Dat$Column3:Dat$Row5 0.0312361 0.3111363 0.100 0.920047
## Dat$HeightL:Dat$Column4:Dat$Row5 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row5 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row50 0.2557861 0.2816738 0.908 0.363995
## Dat$HeightM:Dat$Column2:Dat$Row50 0.1341409 0.2853577 0.470 0.638376
## Dat$HeightL:Dat$Column3:Dat$Row50 0.1531194 0.2816738 0.544 0.586805
## Dat$HeightM:Dat$Column3:Dat$Row50 -0.1475258 0.2853577 -0.517 0.605253
## Dat$HeightL:Dat$Column4:Dat$Row50 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row50 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row6 0.2013194 0.3111363 0.647 0.517715
## Dat$HeightM:Dat$Column2:Dat$Row6 0.2179028 0.3111363 0.700 0.483836
## Dat$HeightL:Dat$Column3:Dat$Row6 0.3567361 0.3111363 1.147 0.251773
## Dat$HeightM:Dat$Column3:Dat$Row6 0.2688194 0.3111363 0.864 0.387750
## Dat$HeightL:Dat$Column4:Dat$Row6 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row6 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row7 -0.6249306 0.3111363 -2.009 0.044790
## Dat$HeightM:Dat$Column2:Dat$Row7 -0.4188472 0.3111363 -1.346 0.178475
## Dat$HeightL:Dat$Column3:Dat$Row7 -0.3128472 0.3111363 -1.005 0.314842
## Dat$HeightM:Dat$Column3:Dat$Row7 -0.5587639 0.3111363 -1.796 0.072743
## Dat$HeightL:Dat$Column4:Dat$Row7 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row7 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row8 -0.1920972 0.3111363 -0.617 0.537074
## Dat$HeightM:Dat$Column2:Dat$Row8 -0.0927639 0.3111363 -0.298 0.765639
## Dat$HeightL:Dat$Column3:Dat$Row8 0.2911528 0.3111363 0.936 0.349562
## Dat$HeightM:Dat$Column3:Dat$Row8 0.1307361 0.3111363 0.420 0.674416
## Dat$HeightL:Dat$Column4:Dat$Row8 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row8 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row9 -0.3841806 0.3111363 -1.235 0.217138
## Dat$HeightM:Dat$Column2:Dat$Row9 -0.1185972 0.3111363 -0.381 0.703135
## Dat$HeightL:Dat$Column3:Dat$Row9 -0.1493472 0.3045390 -0.490 0.623930
## Dat$HeightM:Dat$Column3:Dat$Row9 0.0402361 0.3045390 0.132 0.894909
## Dat$HeightL:Dat$Column4:Dat$Row9 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row9 NA NA NA NA
##
## (Intercept)
## Dat$HeightL
## Dat$HeightM
## Dat$Column2
## Dat$Column3
## Dat$Column4
## Dat$Row10
## Dat$Row11
## Dat$Row12
## Dat$Row13 ***
## Dat$Row14
## Dat$Row15
## Dat$Row16
## Dat$Row17
## Dat$Row18
## Dat$Row19
## Dat$Row2
## Dat$Row20
## Dat$Row21
## Dat$Row22
## Dat$Row23
## Dat$Row24
## Dat$Row25
## Dat$Row26
## Dat$Row27
## Dat$Row28 .
## Dat$Row29
## Dat$Row3
## Dat$Row30
## Dat$Row31
## Dat$Row32
## Dat$Row33
## Dat$Row34 *
## Dat$Row35
## Dat$Row36 .
## Dat$Row37
## Dat$Row38
## Dat$Row39
## Dat$Row4
## Dat$Row40
## Dat$Row41
## Dat$Row42
## Dat$Row43
## Dat$Row44
## Dat$Row45
## Dat$Row46
## Dat$Row47
## Dat$Row48
## Dat$Row49
## Dat$Row5
## Dat$Row50
## Dat$Row6
## Dat$Row7 *
## Dat$Row8
## Dat$Row9
## Dat$HeightL:Dat$Column2
## Dat$HeightM:Dat$Column2
## Dat$HeightL:Dat$Column3
## Dat$HeightM:Dat$Column3
## Dat$HeightL:Dat$Column4 *
## Dat$HeightM:Dat$Column4 .
## Dat$HeightL:Dat$Row10
## Dat$HeightM:Dat$Row10
## Dat$HeightL:Dat$Row11
## Dat$HeightM:Dat$Row11
## Dat$HeightL:Dat$Row12
## Dat$HeightM:Dat$Row12
## Dat$HeightL:Dat$Row13 *
## Dat$HeightM:Dat$Row13 **
## Dat$HeightL:Dat$Row14
## Dat$HeightM:Dat$Row14
## Dat$HeightL:Dat$Row15
## Dat$HeightM:Dat$Row15
## Dat$HeightL:Dat$Row16
## Dat$HeightM:Dat$Row16
## Dat$HeightL:Dat$Row17
## Dat$HeightM:Dat$Row17
## Dat$HeightL:Dat$Row18
## Dat$HeightM:Dat$Row18
## Dat$HeightL:Dat$Row19
## Dat$HeightM:Dat$Row19
## Dat$HeightL:Dat$Row2
## Dat$HeightM:Dat$Row2
## Dat$HeightL:Dat$Row20
## Dat$HeightM:Dat$Row20
## Dat$HeightL:Dat$Row21 .
## Dat$HeightM:Dat$Row21
## Dat$HeightL:Dat$Row22
## Dat$HeightM:Dat$Row22
## Dat$HeightL:Dat$Row23
## Dat$HeightM:Dat$Row23
## Dat$HeightL:Dat$Row24
## Dat$HeightM:Dat$Row24
## Dat$HeightL:Dat$Row25
## Dat$HeightM:Dat$Row25
## Dat$HeightL:Dat$Row26
## Dat$HeightM:Dat$Row26
## Dat$HeightL:Dat$Row27
## Dat$HeightM:Dat$Row27
## Dat$HeightL:Dat$Row28
## Dat$HeightM:Dat$Row28
## Dat$HeightL:Dat$Row29 .
## Dat$HeightM:Dat$Row29
## Dat$HeightL:Dat$Row3
## Dat$HeightM:Dat$Row3
## Dat$HeightL:Dat$Row30
## Dat$HeightM:Dat$Row30
## Dat$HeightL:Dat$Row31
## Dat$HeightM:Dat$Row31
## Dat$HeightL:Dat$Row32
## Dat$HeightM:Dat$Row32
## Dat$HeightL:Dat$Row33
## Dat$HeightM:Dat$Row33
## Dat$HeightL:Dat$Row34 *
## Dat$HeightM:Dat$Row34
## Dat$HeightL:Dat$Row35
## Dat$HeightM:Dat$Row35
## Dat$HeightL:Dat$Row36
## Dat$HeightM:Dat$Row36
## Dat$HeightL:Dat$Row37
## Dat$HeightM:Dat$Row37
## Dat$HeightL:Dat$Row38
## Dat$HeightM:Dat$Row38
## Dat$HeightL:Dat$Row39
## Dat$HeightM:Dat$Row39
## Dat$HeightL:Dat$Row4 .
## Dat$HeightM:Dat$Row4
## Dat$HeightL:Dat$Row40
## Dat$HeightM:Dat$Row40
## Dat$HeightL:Dat$Row41
## Dat$HeightM:Dat$Row41
## Dat$HeightL:Dat$Row42
## Dat$HeightM:Dat$Row42
## Dat$HeightL:Dat$Row43
## Dat$HeightM:Dat$Row43
## Dat$HeightL:Dat$Row44 *
## Dat$HeightM:Dat$Row44
## Dat$HeightL:Dat$Row45
## Dat$HeightM:Dat$Row45
## Dat$HeightL:Dat$Row46
## Dat$HeightM:Dat$Row46
## Dat$HeightL:Dat$Row47
## Dat$HeightM:Dat$Row47
## Dat$HeightL:Dat$Row48 .
## Dat$HeightM:Dat$Row48
## Dat$HeightL:Dat$Row49
## Dat$HeightM:Dat$Row49
## Dat$HeightL:Dat$Row5
## Dat$HeightM:Dat$Row5
## Dat$HeightL:Dat$Row50
## Dat$HeightM:Dat$Row50
## Dat$HeightL:Dat$Row6
## Dat$HeightM:Dat$Row6
## Dat$HeightL:Dat$Row7 .
## Dat$HeightM:Dat$Row7 .
## Dat$HeightL:Dat$Row8
## Dat$HeightM:Dat$Row8
## Dat$HeightL:Dat$Row9
## Dat$HeightM:Dat$Row9
## Dat$Column2:Dat$Row10
## Dat$Column3:Dat$Row10
## Dat$Column4:Dat$Row10
## Dat$Column2:Dat$Row11
## Dat$Column3:Dat$Row11
## Dat$Column4:Dat$Row11
## Dat$Column2:Dat$Row12
## Dat$Column3:Dat$Row12
## Dat$Column4:Dat$Row12
## Dat$Column2:Dat$Row13 *
## Dat$Column3:Dat$Row13 **
## Dat$Column4:Dat$Row13
## Dat$Column2:Dat$Row14
## Dat$Column3:Dat$Row14
## Dat$Column4:Dat$Row14
## Dat$Column2:Dat$Row15
## Dat$Column3:Dat$Row15
## Dat$Column4:Dat$Row15
## Dat$Column2:Dat$Row16
## Dat$Column3:Dat$Row16
## Dat$Column4:Dat$Row16
## Dat$Column2:Dat$Row17
## Dat$Column3:Dat$Row17
## Dat$Column4:Dat$Row17
## Dat$Column2:Dat$Row18
## Dat$Column3:Dat$Row18
## Dat$Column4:Dat$Row18
## Dat$Column2:Dat$Row19
## Dat$Column3:Dat$Row19
## Dat$Column4:Dat$Row19
## Dat$Column2:Dat$Row2
## Dat$Column3:Dat$Row2
## Dat$Column4:Dat$Row2
## Dat$Column2:Dat$Row20
## Dat$Column3:Dat$Row20
## Dat$Column4:Dat$Row20
## Dat$Column2:Dat$Row21
## Dat$Column3:Dat$Row21
## Dat$Column4:Dat$Row21
## Dat$Column2:Dat$Row22
## Dat$Column3:Dat$Row22
## Dat$Column4:Dat$Row22
## Dat$Column2:Dat$Row23
## Dat$Column3:Dat$Row23
## Dat$Column4:Dat$Row23
## Dat$Column2:Dat$Row24
## Dat$Column3:Dat$Row24
## Dat$Column4:Dat$Row24
## Dat$Column2:Dat$Row25
## Dat$Column3:Dat$Row25
## Dat$Column4:Dat$Row25
## Dat$Column2:Dat$Row26
## Dat$Column3:Dat$Row26
## Dat$Column4:Dat$Row26
## Dat$Column2:Dat$Row27
## Dat$Column3:Dat$Row27
## Dat$Column4:Dat$Row27
## Dat$Column2:Dat$Row28
## Dat$Column3:Dat$Row28 *
## Dat$Column4:Dat$Row28
## Dat$Column2:Dat$Row29
## Dat$Column3:Dat$Row29
## Dat$Column4:Dat$Row29
## Dat$Column2:Dat$Row3
## Dat$Column3:Dat$Row3
## Dat$Column4:Dat$Row3
## Dat$Column2:Dat$Row30
## Dat$Column3:Dat$Row30
## Dat$Column4:Dat$Row30
## Dat$Column2:Dat$Row31
## Dat$Column3:Dat$Row31
## Dat$Column4:Dat$Row31
## Dat$Column2:Dat$Row32
## Dat$Column3:Dat$Row32
## Dat$Column4:Dat$Row32
## Dat$Column2:Dat$Row33
## Dat$Column3:Dat$Row33
## Dat$Column4:Dat$Row33
## Dat$Column2:Dat$Row34
## Dat$Column3:Dat$Row34 *
## Dat$Column4:Dat$Row34
## Dat$Column2:Dat$Row35
## Dat$Column3:Dat$Row35
## Dat$Column4:Dat$Row35
## Dat$Column2:Dat$Row36
## Dat$Column3:Dat$Row36 *
## Dat$Column4:Dat$Row36
## Dat$Column2:Dat$Row37
## Dat$Column3:Dat$Row37
## Dat$Column4:Dat$Row37
## Dat$Column2:Dat$Row38
## Dat$Column3:Dat$Row38
## Dat$Column4:Dat$Row38
## Dat$Column2:Dat$Row39
## Dat$Column3:Dat$Row39
## Dat$Column4:Dat$Row39
## Dat$Column2:Dat$Row4
## Dat$Column3:Dat$Row4
## Dat$Column4:Dat$Row4
## Dat$Column2:Dat$Row40
## Dat$Column3:Dat$Row40
## Dat$Column4:Dat$Row40
## Dat$Column2:Dat$Row41
## Dat$Column3:Dat$Row41
## Dat$Column4:Dat$Row41
## Dat$Column2:Dat$Row42
## Dat$Column3:Dat$Row42
## Dat$Column4:Dat$Row42
## Dat$Column2:Dat$Row43 *
## Dat$Column3:Dat$Row43
## Dat$Column4:Dat$Row43
## Dat$Column2:Dat$Row44
## Dat$Column3:Dat$Row44
## Dat$Column4:Dat$Row44
## Dat$Column2:Dat$Row45
## Dat$Column3:Dat$Row45
## Dat$Column4:Dat$Row45
## Dat$Column2:Dat$Row46
## Dat$Column3:Dat$Row46
## Dat$Column4:Dat$Row46
## Dat$Column2:Dat$Row47
## Dat$Column3:Dat$Row47
## Dat$Column4:Dat$Row47
## Dat$Column2:Dat$Row48
## Dat$Column3:Dat$Row48
## Dat$Column4:Dat$Row48
## Dat$Column2:Dat$Row49
## Dat$Column3:Dat$Row49
## Dat$Column4:Dat$Row49
## Dat$Column2:Dat$Row5
## Dat$Column3:Dat$Row5
## Dat$Column4:Dat$Row5
## Dat$Column2:Dat$Row50
## Dat$Column3:Dat$Row50
## Dat$Column4:Dat$Row50
## Dat$Column2:Dat$Row6
## Dat$Column3:Dat$Row6
## Dat$Column4:Dat$Row6
## Dat$Column2:Dat$Row7
## Dat$Column3:Dat$Row7 **
## Dat$Column4:Dat$Row7
## Dat$Column2:Dat$Row8
## Dat$Column3:Dat$Row8
## Dat$Column4:Dat$Row8
## Dat$Column2:Dat$Row9
## Dat$Column3:Dat$Row9
## Dat$Column4:Dat$Row9
## Dat$HeightL:Dat$Column2:Dat$Row10
## Dat$HeightM:Dat$Column2:Dat$Row10
## Dat$HeightL:Dat$Column3:Dat$Row10
## Dat$HeightM:Dat$Column3:Dat$Row10
## Dat$HeightL:Dat$Column4:Dat$Row10
## Dat$HeightM:Dat$Column4:Dat$Row10
## Dat$HeightL:Dat$Column2:Dat$Row11
## Dat$HeightM:Dat$Column2:Dat$Row11
## Dat$HeightL:Dat$Column3:Dat$Row11
## Dat$HeightM:Dat$Column3:Dat$Row11
## Dat$HeightL:Dat$Column4:Dat$Row11
## Dat$HeightM:Dat$Column4:Dat$Row11
## Dat$HeightL:Dat$Column2:Dat$Row12
## Dat$HeightM:Dat$Column2:Dat$Row12
## Dat$HeightL:Dat$Column3:Dat$Row12
## Dat$HeightM:Dat$Column3:Dat$Row12
## Dat$HeightL:Dat$Column4:Dat$Row12
## Dat$HeightM:Dat$Column4:Dat$Row12
## Dat$HeightL:Dat$Column2:Dat$Row13
## Dat$HeightM:Dat$Column2:Dat$Row13
## Dat$HeightL:Dat$Column3:Dat$Row13
## Dat$HeightM:Dat$Column3:Dat$Row13
## Dat$HeightL:Dat$Column4:Dat$Row13
## Dat$HeightM:Dat$Column4:Dat$Row13
## Dat$HeightL:Dat$Column2:Dat$Row14
## Dat$HeightM:Dat$Column2:Dat$Row14
## Dat$HeightL:Dat$Column3:Dat$Row14
## Dat$HeightM:Dat$Column3:Dat$Row14
## Dat$HeightL:Dat$Column4:Dat$Row14
## Dat$HeightM:Dat$Column4:Dat$Row14
## Dat$HeightL:Dat$Column2:Dat$Row15
## Dat$HeightM:Dat$Column2:Dat$Row15
## Dat$HeightL:Dat$Column3:Dat$Row15
## Dat$HeightM:Dat$Column3:Dat$Row15
## Dat$HeightL:Dat$Column4:Dat$Row15
## Dat$HeightM:Dat$Column4:Dat$Row15
## Dat$HeightL:Dat$Column2:Dat$Row16
## Dat$HeightM:Dat$Column2:Dat$Row16
## Dat$HeightL:Dat$Column3:Dat$Row16
## Dat$HeightM:Dat$Column3:Dat$Row16
## Dat$HeightL:Dat$Column4:Dat$Row16
## Dat$HeightM:Dat$Column4:Dat$Row16
## Dat$HeightL:Dat$Column2:Dat$Row17
## Dat$HeightM:Dat$Column2:Dat$Row17
## Dat$HeightL:Dat$Column3:Dat$Row17
## Dat$HeightM:Dat$Column3:Dat$Row17
## Dat$HeightL:Dat$Column4:Dat$Row17
## Dat$HeightM:Dat$Column4:Dat$Row17
## Dat$HeightL:Dat$Column2:Dat$Row18
## Dat$HeightM:Dat$Column2:Dat$Row18
## Dat$HeightL:Dat$Column3:Dat$Row18 *
## Dat$HeightM:Dat$Column3:Dat$Row18
## Dat$HeightL:Dat$Column4:Dat$Row18
## Dat$HeightM:Dat$Column4:Dat$Row18
## Dat$HeightL:Dat$Column2:Dat$Row19
## Dat$HeightM:Dat$Column2:Dat$Row19
## Dat$HeightL:Dat$Column3:Dat$Row19
## Dat$HeightM:Dat$Column3:Dat$Row19
## Dat$HeightL:Dat$Column4:Dat$Row19
## Dat$HeightM:Dat$Column4:Dat$Row19
## Dat$HeightL:Dat$Column2:Dat$Row2
## Dat$HeightM:Dat$Column2:Dat$Row2
## Dat$HeightL:Dat$Column3:Dat$Row2
## Dat$HeightM:Dat$Column3:Dat$Row2
## Dat$HeightL:Dat$Column4:Dat$Row2
## Dat$HeightM:Dat$Column4:Dat$Row2
## Dat$HeightL:Dat$Column2:Dat$Row20
## Dat$HeightM:Dat$Column2:Dat$Row20
## Dat$HeightL:Dat$Column3:Dat$Row20
## Dat$HeightM:Dat$Column3:Dat$Row20
## Dat$HeightL:Dat$Column4:Dat$Row20
## Dat$HeightM:Dat$Column4:Dat$Row20
## Dat$HeightL:Dat$Column2:Dat$Row21 .
## Dat$HeightM:Dat$Column2:Dat$Row21
## Dat$HeightL:Dat$Column3:Dat$Row21
## Dat$HeightM:Dat$Column3:Dat$Row21
## Dat$HeightL:Dat$Column4:Dat$Row21
## Dat$HeightM:Dat$Column4:Dat$Row21
## Dat$HeightL:Dat$Column2:Dat$Row22
## Dat$HeightM:Dat$Column2:Dat$Row22
## Dat$HeightL:Dat$Column3:Dat$Row22
## Dat$HeightM:Dat$Column3:Dat$Row22
## Dat$HeightL:Dat$Column4:Dat$Row22
## Dat$HeightM:Dat$Column4:Dat$Row22
## Dat$HeightL:Dat$Column2:Dat$Row23
## Dat$HeightM:Dat$Column2:Dat$Row23
## Dat$HeightL:Dat$Column3:Dat$Row23
## Dat$HeightM:Dat$Column3:Dat$Row23
## Dat$HeightL:Dat$Column4:Dat$Row23
## Dat$HeightM:Dat$Column4:Dat$Row23
## Dat$HeightL:Dat$Column2:Dat$Row24 .
## Dat$HeightM:Dat$Column2:Dat$Row24
## Dat$HeightL:Dat$Column3:Dat$Row24
## Dat$HeightM:Dat$Column3:Dat$Row24
## Dat$HeightL:Dat$Column4:Dat$Row24
## Dat$HeightM:Dat$Column4:Dat$Row24
## Dat$HeightL:Dat$Column2:Dat$Row25
## Dat$HeightM:Dat$Column2:Dat$Row25
## Dat$HeightL:Dat$Column3:Dat$Row25
## Dat$HeightM:Dat$Column3:Dat$Row25
## Dat$HeightL:Dat$Column4:Dat$Row25
## Dat$HeightM:Dat$Column4:Dat$Row25
## Dat$HeightL:Dat$Column2:Dat$Row26
## Dat$HeightM:Dat$Column2:Dat$Row26
## Dat$HeightL:Dat$Column3:Dat$Row26
## Dat$HeightM:Dat$Column3:Dat$Row26
## Dat$HeightL:Dat$Column4:Dat$Row26
## Dat$HeightM:Dat$Column4:Dat$Row26
## Dat$HeightL:Dat$Column2:Dat$Row27
## Dat$HeightM:Dat$Column2:Dat$Row27
## Dat$HeightL:Dat$Column3:Dat$Row27
## Dat$HeightM:Dat$Column3:Dat$Row27
## Dat$HeightL:Dat$Column4:Dat$Row27
## Dat$HeightM:Dat$Column4:Dat$Row27
## Dat$HeightL:Dat$Column2:Dat$Row28
## Dat$HeightM:Dat$Column2:Dat$Row28
## Dat$HeightL:Dat$Column3:Dat$Row28
## Dat$HeightM:Dat$Column3:Dat$Row28
## Dat$HeightL:Dat$Column4:Dat$Row28
## Dat$HeightM:Dat$Column4:Dat$Row28
## Dat$HeightL:Dat$Column2:Dat$Row29
## Dat$HeightM:Dat$Column2:Dat$Row29
## Dat$HeightL:Dat$Column3:Dat$Row29
## Dat$HeightM:Dat$Column3:Dat$Row29
## Dat$HeightL:Dat$Column4:Dat$Row29
## Dat$HeightM:Dat$Column4:Dat$Row29
## Dat$HeightL:Dat$Column2:Dat$Row3
## Dat$HeightM:Dat$Column2:Dat$Row3 *
## Dat$HeightL:Dat$Column3:Dat$Row3 *
## Dat$HeightM:Dat$Column3:Dat$Row3
## Dat$HeightL:Dat$Column4:Dat$Row3
## Dat$HeightM:Dat$Column4:Dat$Row3
## Dat$HeightL:Dat$Column2:Dat$Row30
## Dat$HeightM:Dat$Column2:Dat$Row30
## Dat$HeightL:Dat$Column3:Dat$Row30
## Dat$HeightM:Dat$Column3:Dat$Row30
## Dat$HeightL:Dat$Column4:Dat$Row30
## Dat$HeightM:Dat$Column4:Dat$Row30
## Dat$HeightL:Dat$Column2:Dat$Row31
## Dat$HeightM:Dat$Column2:Dat$Row31
## Dat$HeightL:Dat$Column3:Dat$Row31
## Dat$HeightM:Dat$Column3:Dat$Row31
## Dat$HeightL:Dat$Column4:Dat$Row31
## Dat$HeightM:Dat$Column4:Dat$Row31
## Dat$HeightL:Dat$Column2:Dat$Row32
## Dat$HeightM:Dat$Column2:Dat$Row32
## Dat$HeightL:Dat$Column3:Dat$Row32
## Dat$HeightM:Dat$Column3:Dat$Row32
## Dat$HeightL:Dat$Column4:Dat$Row32
## Dat$HeightM:Dat$Column4:Dat$Row32
## Dat$HeightL:Dat$Column2:Dat$Row33
## Dat$HeightM:Dat$Column2:Dat$Row33
## Dat$HeightL:Dat$Column3:Dat$Row33
## Dat$HeightM:Dat$Column3:Dat$Row33
## Dat$HeightL:Dat$Column4:Dat$Row33
## Dat$HeightM:Dat$Column4:Dat$Row33
## Dat$HeightL:Dat$Column2:Dat$Row34
## Dat$HeightM:Dat$Column2:Dat$Row34
## Dat$HeightL:Dat$Column3:Dat$Row34
## Dat$HeightM:Dat$Column3:Dat$Row34
## Dat$HeightL:Dat$Column4:Dat$Row34
## Dat$HeightM:Dat$Column4:Dat$Row34
## Dat$HeightL:Dat$Column2:Dat$Row35
## Dat$HeightM:Dat$Column2:Dat$Row35
## Dat$HeightL:Dat$Column3:Dat$Row35
## Dat$HeightM:Dat$Column3:Dat$Row35
## Dat$HeightL:Dat$Column4:Dat$Row35
## Dat$HeightM:Dat$Column4:Dat$Row35
## Dat$HeightL:Dat$Column2:Dat$Row36
## Dat$HeightM:Dat$Column2:Dat$Row36
## Dat$HeightL:Dat$Column3:Dat$Row36
## Dat$HeightM:Dat$Column3:Dat$Row36
## Dat$HeightL:Dat$Column4:Dat$Row36
## Dat$HeightM:Dat$Column4:Dat$Row36
## Dat$HeightL:Dat$Column2:Dat$Row37
## Dat$HeightM:Dat$Column2:Dat$Row37
## Dat$HeightL:Dat$Column3:Dat$Row37
## Dat$HeightM:Dat$Column3:Dat$Row37
## Dat$HeightL:Dat$Column4:Dat$Row37
## Dat$HeightM:Dat$Column4:Dat$Row37
## Dat$HeightL:Dat$Column2:Dat$Row38
## Dat$HeightM:Dat$Column2:Dat$Row38
## Dat$HeightL:Dat$Column3:Dat$Row38
## Dat$HeightM:Dat$Column3:Dat$Row38
## Dat$HeightL:Dat$Column4:Dat$Row38
## Dat$HeightM:Dat$Column4:Dat$Row38
## Dat$HeightL:Dat$Column2:Dat$Row39
## Dat$HeightM:Dat$Column2:Dat$Row39
## Dat$HeightL:Dat$Column3:Dat$Row39
## Dat$HeightM:Dat$Column3:Dat$Row39
## Dat$HeightL:Dat$Column4:Dat$Row39
## Dat$HeightM:Dat$Column4:Dat$Row39
## Dat$HeightL:Dat$Column2:Dat$Row4
## Dat$HeightM:Dat$Column2:Dat$Row4
## Dat$HeightL:Dat$Column3:Dat$Row4 .
## Dat$HeightM:Dat$Column3:Dat$Row4
## Dat$HeightL:Dat$Column4:Dat$Row4
## Dat$HeightM:Dat$Column4:Dat$Row4
## Dat$HeightL:Dat$Column2:Dat$Row40
## Dat$HeightM:Dat$Column2:Dat$Row40
## Dat$HeightL:Dat$Column3:Dat$Row40
## Dat$HeightM:Dat$Column3:Dat$Row40
## Dat$HeightL:Dat$Column4:Dat$Row40
## Dat$HeightM:Dat$Column4:Dat$Row40
## Dat$HeightL:Dat$Column2:Dat$Row41
## Dat$HeightM:Dat$Column2:Dat$Row41
## Dat$HeightL:Dat$Column3:Dat$Row41
## Dat$HeightM:Dat$Column3:Dat$Row41
## Dat$HeightL:Dat$Column4:Dat$Row41
## Dat$HeightM:Dat$Column4:Dat$Row41
## Dat$HeightL:Dat$Column2:Dat$Row42 *
## Dat$HeightM:Dat$Column2:Dat$Row42
## Dat$HeightL:Dat$Column3:Dat$Row42 *
## Dat$HeightM:Dat$Column3:Dat$Row42
## Dat$HeightL:Dat$Column4:Dat$Row42
## Dat$HeightM:Dat$Column4:Dat$Row42
## Dat$HeightL:Dat$Column2:Dat$Row43
## Dat$HeightM:Dat$Column2:Dat$Row43
## Dat$HeightL:Dat$Column3:Dat$Row43
## Dat$HeightM:Dat$Column3:Dat$Row43 **
## Dat$HeightL:Dat$Column4:Dat$Row43
## Dat$HeightM:Dat$Column4:Dat$Row43
## Dat$HeightL:Dat$Column2:Dat$Row44
## Dat$HeightM:Dat$Column2:Dat$Row44
## Dat$HeightL:Dat$Column3:Dat$Row44 .
## Dat$HeightM:Dat$Column3:Dat$Row44
## Dat$HeightL:Dat$Column4:Dat$Row44
## Dat$HeightM:Dat$Column4:Dat$Row44
## Dat$HeightL:Dat$Column2:Dat$Row45
## Dat$HeightM:Dat$Column2:Dat$Row45
## Dat$HeightL:Dat$Column3:Dat$Row45
## Dat$HeightM:Dat$Column3:Dat$Row45
## Dat$HeightL:Dat$Column4:Dat$Row45
## Dat$HeightM:Dat$Column4:Dat$Row45
## Dat$HeightL:Dat$Column2:Dat$Row46
## Dat$HeightM:Dat$Column2:Dat$Row46
## Dat$HeightL:Dat$Column3:Dat$Row46
## Dat$HeightM:Dat$Column3:Dat$Row46
## Dat$HeightL:Dat$Column4:Dat$Row46
## Dat$HeightM:Dat$Column4:Dat$Row46
## Dat$HeightL:Dat$Column2:Dat$Row47
## Dat$HeightM:Dat$Column2:Dat$Row47
## Dat$HeightL:Dat$Column3:Dat$Row47
## Dat$HeightM:Dat$Column3:Dat$Row47
## Dat$HeightL:Dat$Column4:Dat$Row47 .
## Dat$HeightM:Dat$Column4:Dat$Row47
## Dat$HeightL:Dat$Column2:Dat$Row48
## Dat$HeightM:Dat$Column2:Dat$Row48
## Dat$HeightL:Dat$Column3:Dat$Row48
## Dat$HeightM:Dat$Column3:Dat$Row48
## Dat$HeightL:Dat$Column4:Dat$Row48
## Dat$HeightM:Dat$Column4:Dat$Row48
## Dat$HeightL:Dat$Column2:Dat$Row49
## Dat$HeightM:Dat$Column2:Dat$Row49
## Dat$HeightL:Dat$Column3:Dat$Row49
## Dat$HeightM:Dat$Column3:Dat$Row49
## Dat$HeightL:Dat$Column4:Dat$Row49
## Dat$HeightM:Dat$Column4:Dat$Row49
## Dat$HeightL:Dat$Column2:Dat$Row5
## Dat$HeightM:Dat$Column2:Dat$Row5
## Dat$HeightL:Dat$Column3:Dat$Row5
## Dat$HeightM:Dat$Column3:Dat$Row5
## Dat$HeightL:Dat$Column4:Dat$Row5
## Dat$HeightM:Dat$Column4:Dat$Row5
## Dat$HeightL:Dat$Column2:Dat$Row50
## Dat$HeightM:Dat$Column2:Dat$Row50
## Dat$HeightL:Dat$Column3:Dat$Row50
## Dat$HeightM:Dat$Column3:Dat$Row50
## Dat$HeightL:Dat$Column4:Dat$Row50
## Dat$HeightM:Dat$Column4:Dat$Row50
## Dat$HeightL:Dat$Column2:Dat$Row6
## Dat$HeightM:Dat$Column2:Dat$Row6
## Dat$HeightL:Dat$Column3:Dat$Row6
## Dat$HeightM:Dat$Column3:Dat$Row6
## Dat$HeightL:Dat$Column4:Dat$Row6
## Dat$HeightM:Dat$Column4:Dat$Row6
## Dat$HeightL:Dat$Column2:Dat$Row7 *
## Dat$HeightM:Dat$Column2:Dat$Row7
## Dat$HeightL:Dat$Column3:Dat$Row7
## Dat$HeightM:Dat$Column3:Dat$Row7 .
## Dat$HeightL:Dat$Column4:Dat$Row7
## Dat$HeightM:Dat$Column4:Dat$Row7
## Dat$HeightL:Dat$Column2:Dat$Row8
## Dat$HeightM:Dat$Column2:Dat$Row8
## Dat$HeightL:Dat$Column3:Dat$Row8
## Dat$HeightM:Dat$Column3:Dat$Row8
## Dat$HeightL:Dat$Column4:Dat$Row8
## Dat$HeightM:Dat$Column4:Dat$Row8
## Dat$HeightL:Dat$Column2:Dat$Row9
## Dat$HeightM:Dat$Column2:Dat$Row9
## Dat$HeightL:Dat$Column3:Dat$Row9
## Dat$HeightM:Dat$Column3:Dat$Row9
## Dat$HeightL:Dat$Column4:Dat$Row9
## Dat$HeightM:Dat$Column4:Dat$Row9
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.2208 on 1313 degrees of freedom
## Multiple R-squared: 0.3513, Adjusted R-squared: 0.1162
## F-statistic: 1.494 on 476 and 1313 DF, p-value: 2.23e-08
## Analysis of Variance Table
##
## Response: Dat$NBI5
## Df Sum Sq Mean Sq F value Pr(>F)
## Dat$Height 2 3 1.352 0.0212 0.978979
## Dat$Column 3 50 16.825 0.2644 0.851104
## Dat$Row 49 22 0.453 0.0071 1.000000
## Dat$Height:Dat$Column 6 795 132.483 2.0816 0.052659 .
## Dat$Height:Dat$Row 98 8157 83.239 1.3079 0.027100 *
## Dat$Column:Dat$Row 106 7730 72.925 1.1458 0.155856
## Dat$Height:Dat$Column:Dat$Row 212 18762 88.498 1.3905 0.000485 ***
## Residuals 1313 83565 63.644
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Call:
## lm(formula = Dat$NBI5 ~ Dat$Height * Dat$Column * Dat$Row)
##
## Residuals:
## Min 1Q Median 3Q Max
## -20.763 -4.606 0.110 4.718 24.328
##
## Coefficients: (123 not defined because of singularities)
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 5.140116 2.820555 1.822 0.068625
## Dat$HeightL -8.521451 3.876482 -2.198 0.028106
## Dat$HeightM -6.572965 3.876482 -1.696 0.090199
## Dat$Column2 -4.964586 5.400952 -0.919 0.358157
## Dat$Column3 -5.603287 5.400952 -1.037 0.299711
## Dat$Column4 -6.228791 5.400952 -1.153 0.249007
## Dat$Row10 -1.476250 4.885345 -0.302 0.762563
## Dat$Row11 -9.606837 3.988867 -2.408 0.016159
## Dat$Row12 3.034271 5.400952 0.562 0.574346
## Dat$Row13 1.572241 6.306953 0.249 0.803178
## Dat$Row14 -3.601667 5.400952 -0.667 0.504980
## Dat$Row15 3.347424 5.400952 0.620 0.535507
## Dat$Row16 -1.629333 5.400952 -0.302 0.762947
## Dat$Row17 0.229226 7.282642 0.031 0.974895
## Dat$Row18 -11.249333 5.400952 -2.083 0.037459
## Dat$Row19 -9.061667 5.400952 -1.678 0.093626
## Dat$Row2 -5.662273 5.400952 -1.048 0.294655
## Dat$Row20 -5.629186 5.400952 -1.042 0.297484
## Dat$Row21 -5.166149 4.885345 -1.057 0.290488
## Dat$Row22 -14.443182 5.400952 -2.674 0.007584
## Dat$Row23 -6.169264 5.400952 -1.142 0.253556
## Dat$Row24 -10.808333 5.400952 -2.001 0.045577
## Dat$Row25 -10.978939 5.400952 -2.033 0.042276
## Dat$Row26 -4.227742 6.306953 -0.670 0.502765
## Dat$Row27 -6.350625 5.400952 -1.176 0.239874
## Dat$Row28 -8.660455 5.400952 -1.604 0.109064
## Dat$Row29 -3.879271 5.400952 -0.718 0.472727
## Dat$Row3 -9.205606 5.400952 -1.704 0.088535
## Dat$Row30 -11.528667 5.400952 -2.135 0.032982
## Dat$Row31 -5.807762 3.988867 -1.456 0.145634
## Dat$Row32 -0.171970 5.400952 -0.032 0.974604
## Dat$Row33 -8.617727 5.400952 -1.596 0.110820
## Dat$Row34 5.193561 5.400952 0.962 0.336427
## Dat$Row35 -4.330056 4.885345 -0.886 0.375599
## Dat$Row36 -2.830937 5.400952 -0.524 0.600259
## Dat$Row37 -5.739896 5.400952 -1.063 0.288088
## Dat$Row38 -1.203387 6.306953 -0.191 0.848709
## Dat$Row39 -3.167727 5.400952 -0.587 0.557632
## Dat$Row4 0.018561 4.885345 0.004 0.996969
## Dat$Row40 -13.664394 5.400952 -2.530 0.011522
## Dat$Row41 1.452394 4.885345 0.297 0.766288
## Dat$Row42 4.840455 5.400952 0.896 0.370298
## Dat$Row43 -8.985538 5.400952 -1.664 0.096412
## Dat$Row44 -2.217500 6.306953 -0.352 0.725198
## Dat$Row45 -8.040426 5.400952 -1.489 0.136805
## Dat$Row46 -13.796163 6.306953 -2.187 0.028885
## Dat$Row47 -6.701977 5.400952 -1.241 0.214869
## Dat$Row48 -4.508939 5.400952 -0.835 0.403959
## Dat$Row49 2.780909 5.400952 0.515 0.606715
## Dat$Row5 -3.902396 5.400952 -0.723 0.470092
## Dat$Row50 -0.345680 3.988867 -0.087 0.930954
## Dat$Row6 -0.249242 5.400952 -0.046 0.963199
## Dat$Row7 -13.837424 5.400952 -2.562 0.010517
## Dat$Row8 -4.571364 5.400952 -0.846 0.397484
## Dat$Row9 0.312451 5.400952 0.058 0.953876
## Dat$HeightL:Dat$Column2 5.772083 7.221698 0.799 0.424279
## Dat$HeightM:Dat$Column2 15.067361 7.221698 2.086 0.037135
## Dat$HeightL:Dat$Column3 8.529583 7.221698 1.181 0.237775
## Dat$HeightM:Dat$Column3 5.849861 7.221698 0.810 0.418064
## Dat$HeightL:Dat$Column4 9.524917 7.533223 1.264 0.206315
## Dat$HeightM:Dat$Column4 10.281012 7.360257 1.397 0.162701
## Dat$HeightL:Dat$Row10 -0.161250 6.844650 -0.024 0.981208
## Dat$HeightM:Dat$Row10 2.375694 7.221698 0.329 0.742234
## Dat$HeightL:Dat$Row11 15.395750 5.417294 2.842 0.004553
## Dat$HeightM:Dat$Row11 10.742639 5.482174 1.960 0.050259
## Dat$HeightL:Dat$Row12 -0.244583 7.221698 -0.034 0.972988
## Dat$HeightM:Dat$Row12 -8.066806 7.221698 -1.117 0.264189
## Dat$HeightL:Dat$Row13 1.561250 7.922140 0.197 0.843800
## Dat$HeightM:Dat$Row13 3.031528 7.922140 0.383 0.702030
## Dat$HeightL:Dat$Row14 0.212917 7.221698 0.029 0.976484
## Dat$HeightM:Dat$Row14 2.635694 7.221698 0.365 0.715193
## Dat$HeightL:Dat$Row15 -3.565417 7.221698 -0.494 0.621594
## Dat$HeightM:Dat$Row15 -4.180139 7.221698 -0.579 0.562803
## Dat$HeightL:Dat$Row16 10.747083 8.250090 1.303 0.192918
## Dat$HeightM:Dat$Row16 2.031528 7.580014 0.268 0.788733
## Dat$HeightL:Dat$Row17 -2.398333 9.211894 -0.260 0.794633
## Dat$HeightM:Dat$Row17 3.471667 9.211894 0.377 0.706333
## Dat$HeightL:Dat$Row18 12.781250 7.221698 1.770 0.076986
## Dat$HeightM:Dat$Row18 10.196528 7.221698 1.412 0.158208
## Dat$HeightL:Dat$Row19 11.615417 7.221698 1.608 0.107987
## Dat$HeightM:Dat$Row19 15.070694 7.221698 2.087 0.037093
## Dat$HeightL:Dat$Row2 7.403750 7.221698 1.025 0.305453
## Dat$HeightM:Dat$Row2 4.241528 7.221698 0.587 0.557082
## Dat$HeightL:Dat$Row20 10.281250 7.221698 1.424 0.154782
## Dat$HeightM:Dat$Row20 8.886528 7.221698 1.231 0.218719
## Dat$HeightL:Dat$Row21 13.646250 6.445584 2.117 0.034435
## Dat$HeightM:Dat$Row21 7.772028 6.608103 1.176 0.239754
## Dat$HeightL:Dat$Row22 22.003750 7.221698 3.047 0.002358
## Dat$HeightM:Dat$Row22 15.941528 7.221698 2.207 0.027455
## Dat$HeightL:Dat$Row23 8.792083 7.221698 1.217 0.223650
## Dat$HeightM:Dat$Row23 2.351528 7.580014 0.310 0.756437
## Dat$HeightL:Dat$Row24 13.237083 7.221698 1.833 0.067035
## Dat$HeightM:Dat$Row24 12.750861 6.997908 1.822 0.068668
## Dat$HeightL:Dat$Row25 10.834583 7.221698 1.500 0.133782
## Dat$HeightM:Dat$Row25 15.042361 7.221698 2.083 0.037450
## Dat$HeightL:Dat$Row26 0.746250 7.922140 0.094 0.924966
## Dat$HeightM:Dat$Row26 1.641528 7.922140 0.207 0.835880
## Dat$HeightL:Dat$Row27 11.096250 7.221698 1.537 0.124653
## Dat$HeightM:Dat$Row27 -0.125972 7.221698 -0.017 0.986085
## Dat$HeightL:Dat$Row28 17.293750 7.221698 2.395 0.016774
## Dat$HeightM:Dat$Row28 13.296528 7.221698 1.841 0.065819
## Dat$HeightL:Dat$Row29 4.722083 7.221698 0.654 0.513307
## Dat$HeightM:Dat$Row29 -0.621806 7.580014 -0.082 0.934634
## Dat$HeightL:Dat$Row3 6.162083 7.221698 0.853 0.393663
## Dat$HeightM:Dat$Row3 17.099861 7.221698 2.368 0.018036
## Dat$HeightL:Dat$Row30 18.196250 7.221698 2.520 0.011865
## Dat$HeightM:Dat$Row30 17.901528 7.580014 2.362 0.018338
## Dat$HeightL:Dat$Row31 7.422857 5.663451 1.311 0.190202
## Dat$HeightM:Dat$Row31 3.024444 5.795690 0.522 0.601867
## Dat$HeightL:Dat$Row32 9.587083 7.221698 1.328 0.184561
## Dat$HeightM:Dat$Row32 0.804861 7.221698 0.111 0.911276
## Dat$HeightL:Dat$Row33 7.931250 7.221698 1.098 0.272295
## Dat$HeightM:Dat$Row33 8.059028 7.221698 1.116 0.264649
## Dat$HeightL:Dat$Row34 -11.029583 7.221698 -1.527 0.126931
## Dat$HeightM:Dat$Row34 -6.571806 7.221698 -0.910 0.362985
## Dat$HeightL:Dat$Row35 10.778750 6.844650 1.575 0.115550
## Dat$HeightM:Dat$Row35 4.981528 6.844650 0.728 0.466867
## Dat$HeightL:Dat$Row36 12.157083 7.580014 1.604 0.108991
## Dat$HeightM:Dat$Row36 2.874028 7.221698 0.398 0.690716
## Dat$HeightL:Dat$Row37 7.947083 7.580014 1.048 0.294635
## Dat$HeightM:Dat$Row37 7.164861 7.221698 0.992 0.321317
## Dat$HeightL:Dat$Row38 4.078750 7.922140 0.515 0.606741
## Dat$HeightM:Dat$Row38 -6.048472 7.922140 -0.763 0.445309
## Dat$HeightL:Dat$Row39 7.824583 7.221698 1.083 0.278793
## Dat$HeightM:Dat$Row39 5.559861 7.221698 0.770 0.441508
## Dat$HeightL:Dat$Row4 5.716250 6.844650 0.835 0.403790
## Dat$HeightM:Dat$Row4 2.004028 7.221698 0.278 0.781439
## Dat$HeightL:Dat$Row40 21.017083 7.221698 2.910 0.003672
## Dat$HeightM:Dat$Row40 19.322361 7.221698 2.676 0.007552
## Dat$HeightL:Dat$Row41 -1.774464 6.326943 -0.280 0.779168
## Dat$HeightM:Dat$Row41 -2.455972 6.445584 -0.381 0.703241
## Dat$HeightL:Dat$Row42 -7.309583 7.580014 -0.964 0.335061
## Dat$HeightM:Dat$Row42 1.092861 6.997908 0.156 0.875923
## Dat$HeightL:Dat$Row43 10.280417 7.221698 1.424 0.154816
## Dat$HeightM:Dat$Row43 10.205694 7.221698 1.413 0.157834
## Dat$HeightL:Dat$Row44 18.061250 7.922140 2.280 0.022777
## Dat$HeightM:Dat$Row44 2.931528 7.922140 0.370 0.711411
## Dat$HeightL:Dat$Row45 6.409583 7.221698 0.888 0.374948
## Dat$HeightM:Dat$Row45 13.377361 7.221698 1.852 0.064195
## Dat$HeightL:Dat$Row46 16.377083 8.250090 1.985 0.047343
## Dat$HeightM:Dat$Row46 20.677528 7.718684 2.679 0.007479
## Dat$HeightL:Dat$Row47 13.731250 7.221698 1.901 0.057470
## Dat$HeightM:Dat$Row47 10.871528 7.221698 1.505 0.132462
## Dat$HeightL:Dat$Row48 13.610417 7.221698 1.885 0.059697
## Dat$HeightM:Dat$Row48 5.905694 7.221698 0.818 0.413636
## Dat$HeightL:Dat$Row49 -0.356250 7.221698 -0.049 0.960663
## Dat$HeightM:Dat$Row49 -0.015972 7.221698 -0.002 0.998236
## Dat$HeightL:Dat$Row5 10.673750 7.580014 1.408 0.159325
## Dat$HeightM:Dat$Row5 -0.520139 7.221698 -0.072 0.942593
## Dat$HeightL:Dat$Row50 -0.394500 5.417294 -0.073 0.941959
## Dat$HeightM:Dat$Row50 7.998849 5.663451 1.412 0.158080
## Dat$HeightL:Dat$Row6 7.232083 7.221698 1.001 0.316800
## Dat$HeightM:Dat$Row6 -1.265139 7.221698 -0.175 0.860961
## Dat$HeightL:Dat$Row7 17.630417 7.221698 2.441 0.014765
## Dat$HeightM:Dat$Row7 17.530694 7.221698 2.428 0.015337
## Dat$HeightL:Dat$Row8 8.607917 7.221698 1.192 0.233496
## Dat$HeightM:Dat$Row8 6.845694 7.221698 0.948 0.343337
## Dat$HeightL:Dat$Row9 6.242917 7.221698 0.864 0.387490
## Dat$HeightM:Dat$Row9 5.253194 7.221698 0.727 0.467100
## Dat$Column2:Dat$Row10 -5.125417 8.142241 -0.629 0.529141
## Dat$Column3:Dat$Row10 8.011250 8.142241 0.984 0.325340
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## Dat$Column3:Dat$Row11 16.153750 7.638099 2.115 0.034627
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## Dat$Column3:Dat$Row12 -3.999583 8.461665 -0.473 0.636527
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## Dat$Column3:Dat$Row13 -2.656250 9.066816 -0.293 0.769596
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## Dat$Column3:Dat$Row14 -4.689583 8.461665 -0.554 0.579526
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## Dat$Column3:Dat$Row15 1.360417 8.461665 0.161 0.872296
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## Dat$Column3:Dat$Row16 2.727083 8.461665 0.322 0.747287
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## Dat$Column4:Dat$Row17 NA NA NA NA
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## Dat$Column3:Dat$Row18 16.120417 8.461665 1.905 0.056984
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## Dat$Column3:Dat$Row19 8.860417 8.461665 1.047 0.295235
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## Dat$Column3:Dat$Row2 10.793750 8.461665 1.276 0.202321
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## Dat$Column3:Dat$Row20 8.337083 8.461665 0.985 0.324670
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## Dat$Column3:Dat$Row21 3.602917 8.142241 0.442 0.658203
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## Dat$Column3:Dat$Row22 7.057083 8.461665 0.834 0.404429
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## Dat$Column3:Dat$Row23 -4.886250 8.461665 -0.577 0.563730
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## Dat$Column3:Dat$Row24 14.317083 8.461665 1.692 0.090884
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## Dat$Column3:Dat$Row25 11.993750 8.461665 1.417 0.156597
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## Dat$Column3:Dat$Row26 6.998750 9.066816 0.772 0.440308
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## Dat$Column3:Dat$Row27 6.577083 9.066816 0.725 0.468335
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## Dat$Column3:Dat$Row28 5.867083 8.461665 0.693 0.488199
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## Dat$Column3:Dat$Row29 -0.299583 8.461665 -0.035 0.971762
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## Dat$Column2:Dat$Row3 16.167083 8.461665 1.911 0.056270
## Dat$Column3:Dat$Row3 21.793750 8.461665 2.576 0.010116
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## Dat$Column3:Dat$Row30 12.153750 8.461665 1.436 0.151146
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## Dat$Column3:Dat$Row31 7.546667 7.638099 0.988 0.323320
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## Dat$Column3:Dat$Row32 0.403750 8.461665 0.048 0.961950
## Dat$Column4:Dat$Row32 -1.315417 8.461665 -0.155 0.876486
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## Dat$Column3:Dat$Row33 14.733750 8.461665 1.741 0.081877
## Dat$Column4:Dat$Row33 NA NA NA NA
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## Dat$Column3:Dat$Row34 -8.372917 8.461665 -0.990 0.322595
## Dat$Column4:Dat$Row34 -9.395417 8.461665 -1.110 0.267051
## Dat$Column2:Dat$Row35 -0.472083 8.142241 -0.058 0.953774
## Dat$Column3:Dat$Row35 7.191250 8.142241 0.883 0.377288
## Dat$Column4:Dat$Row35 -4.397917 8.142241 -0.540 0.589195
## Dat$Column2:Dat$Row36 5.307083 8.461665 0.627 0.530643
## Dat$Column3:Dat$Row36 -3.049583 8.461665 -0.360 0.718606
## Dat$Column4:Dat$Row36 NA NA NA NA
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## Dat$Column3:Dat$Row37 -0.826250 8.461665 -0.098 0.922228
## Dat$Column4:Dat$Row37 NA NA NA NA
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## Dat$Column3:Dat$Row38 2.043750 9.066816 0.225 0.821695
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## Dat$Column3:Dat$Row39 10.407083 8.461665 1.230 0.218951
## Dat$Column4:Dat$Row39 NA NA NA NA
## Dat$Column2:Dat$Row4 -3.050417 8.142241 -0.375 0.707988
## Dat$Column3:Dat$Row4 -6.973750 8.142241 -0.856 0.391883
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## Dat$Column3:Dat$Row40 14.777083 8.461665 1.746 0.080983
## Dat$Column4:Dat$Row40 NA NA NA NA
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## Dat$Column3:Dat$Row41 -1.685417 8.142241 -0.207 0.836045
## Dat$Column4:Dat$Row41 1.182083 8.769462 0.135 0.892794
## Dat$Column2:Dat$Row42 -2.172917 8.461665 -0.257 0.797377
## Dat$Column3:Dat$Row42 -2.439583 8.461665 -0.288 0.773155
## Dat$Column4:Dat$Row42 NA NA NA NA
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## Dat$Column3:Dat$Row43 5.423750 9.066816 0.598 0.549811
## Dat$Column4:Dat$Row43 NA NA NA NA
## Dat$Column2:Dat$Row44 1.057083 9.066816 0.117 0.907204
## Dat$Column3:Dat$Row44 -0.249583 9.066816 -0.028 0.978043
## Dat$Column4:Dat$Row44 NA NA NA NA
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## Dat$Column3:Dat$Row45 4.173750 8.461665 0.493 0.621916
## Dat$Column4:Dat$Row45 9.451250 8.461665 1.117 0.264220
## Dat$Column2:Dat$Row46 20.867083 9.066816 2.301 0.021521
## Dat$Column3:Dat$Row46 19.873750 9.066816 2.192 0.028560
## Dat$Column4:Dat$Row46 16.524583 9.066816 1.823 0.068601
## Dat$Column2:Dat$Row47 10.163750 8.461665 1.201 0.229909
## Dat$Column3:Dat$Row47 17.397083 8.142241 2.137 0.032811
## Dat$Column4:Dat$Row47 0.737917 8.461665 0.087 0.930520
## Dat$Column2:Dat$Row48 1.743750 9.066816 0.192 0.847520
## Dat$Column3:Dat$Row48 7.461250 8.142241 0.916 0.359645
## Dat$Column4:Dat$Row48 NA NA NA NA
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## Dat$Column3:Dat$Row49 -9.552917 8.461665 -1.129 0.259119
## Dat$Column4:Dat$Row49 -5.552083 8.461665 -0.656 0.511845
## Dat$Column2:Dat$Row5 0.830417 8.461665 0.098 0.921837
## Dat$Column3:Dat$Row5 14.190417 8.461665 1.677 0.093776
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## Dat$Column2:Dat$Row50 0.009167 7.638099 0.001 0.999043
## Dat$Column3:Dat$Row50 -6.517500 7.638099 -0.853 0.393655
## Dat$Column4:Dat$Row50 NA NA NA NA
## Dat$Column2:Dat$Row6 7.370417 8.461665 0.871 0.383894
## Dat$Column3:Dat$Row6 7.807083 8.461665 0.923 0.356364
## Dat$Column4:Dat$Row6 NA NA NA NA
## Dat$Column2:Dat$Row7 9.773750 8.461665 1.155 0.248275
## Dat$Column3:Dat$Row7 16.167083 8.461665 1.911 0.056270
## Dat$Column4:Dat$Row7 NA NA NA NA
## Dat$Column2:Dat$Row8 9.983750 8.461665 1.180 0.238262
## Dat$Column3:Dat$Row8 -0.886250 8.461665 -0.105 0.916600
## Dat$Column4:Dat$Row8 NA NA NA NA
## Dat$Column2:Dat$Row9 -3.936250 8.461665 -0.465 0.641875
## Dat$Column3:Dat$Row9 -6.206250 8.142241 -0.762 0.446060
## Dat$Column4:Dat$Row9 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row10 11.442917 11.004584 1.040 0.298609
## Dat$HeightM:Dat$Column2:Dat$Row10 -5.708194 11.476421 -0.497 0.619001
## Dat$HeightL:Dat$Column3:Dat$Row10 -9.211250 11.004584 -0.837 0.402724
## Dat$HeightM:Dat$Column3:Dat$Row10 -3.375694 11.242978 -0.300 0.764035
## Dat$HeightL:Dat$Column4:Dat$Row10 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row10 NA NA NA NA
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## Dat$HeightM:Dat$Column2:Dat$Row11 -15.590139 10.213024 -1.526 0.127127
## Dat$HeightL:Dat$Column3:Dat$Row11 -16.530750 10.178344 -1.624 0.104592
## Dat$HeightM:Dat$Column3:Dat$Row11 -20.127639 10.213024 -1.971 0.048959
## Dat$HeightL:Dat$Column4:Dat$Row11 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row11 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row12 7.391250 11.242978 0.657 0.511032
## Dat$HeightM:Dat$Column2:Dat$Row12 4.383472 11.242978 0.390 0.696685
## Dat$HeightL:Dat$Column3:Dat$Row12 3.222083 11.476421 0.281 0.778941
## Dat$HeightM:Dat$Column3:Dat$Row12 8.019306 11.242978 0.713 0.475804
## Dat$HeightL:Dat$Column4:Dat$Row12 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row12 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row13 -8.497917 11.705209 -0.726 0.467972
## Dat$HeightM:Dat$Column2:Dat$Row13 -20.098194 11.705209 -1.717 0.086210
## Dat$HeightL:Dat$Column3:Dat$Row13 -2.293750 11.929611 -0.192 0.847558
## Dat$HeightM:Dat$Column3:Dat$Row13 -1.116528 12.366203 -0.090 0.928072
## Dat$HeightL:Dat$Column4:Dat$Row13 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row13 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row14 -5.483750 11.242978 -0.488 0.625809
## Dat$HeightM:Dat$Column2:Dat$Row14 -15.021528 11.242978 -1.336 0.181754
## Dat$HeightL:Dat$Column3:Dat$Row14 15.672083 11.242978 1.394 0.163570
## Dat$HeightM:Dat$Column3:Dat$Row14 13.569306 11.242978 1.207 0.227683
## Dat$HeightL:Dat$Column4:Dat$Row14 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row14 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row15 -1.694583 11.242978 -0.151 0.880217
## Dat$HeightM:Dat$Column2:Dat$Row15 -2.017361 11.242978 -0.179 0.857625
## Dat$HeightL:Dat$Column3:Dat$Row15 -2.110417 11.242978 -0.188 0.851133
## Dat$HeightM:Dat$Column3:Dat$Row15 0.634306 11.242978 0.056 0.955017
## Dat$HeightL:Dat$Column4:Dat$Row15 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row15 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row16 -4.817917 11.929611 -0.404 0.686380
## Dat$HeightM:Dat$Column2:Dat$Row16 -10.427361 11.476421 -0.909 0.363733
## Dat$HeightL:Dat$Column3:Dat$Row16 -10.669583 11.929611 -0.894 0.371283
## Dat$HeightM:Dat$Column3:Dat$Row16 -4.189028 11.476421 -0.365 0.715161
## Dat$HeightL:Dat$Column4:Dat$Row16 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row16 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row17 3.917500 12.613906 0.311 0.756177
## Dat$HeightM:Dat$Column2:Dat$Row17 -6.305000 12.613906 -0.500 0.617268
## Dat$HeightL:Dat$Column3:Dat$Row17 NA NA NA NA
## Dat$HeightM:Dat$Column3:Dat$Row17 NA NA NA NA
## Dat$HeightL:Dat$Column4:Dat$Row17 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row17 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row18 9.232083 11.242978 0.821 0.411714
## Dat$HeightM:Dat$Column2:Dat$Row18 -2.623194 11.242978 -0.233 0.815550
## Dat$HeightL:Dat$Column3:Dat$Row18 -22.795417 11.929611 -1.911 0.056244
## Dat$HeightM:Dat$Column3:Dat$Row18 -7.298194 11.476421 -0.636 0.524933
## Dat$HeightL:Dat$Column4:Dat$Row18 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row18 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row19 -12.348750 11.242978 -1.098 0.272252
## Dat$HeightM:Dat$Column2:Dat$Row19 -31.806528 11.242978 -2.829 0.004740
## Dat$HeightL:Dat$Column3:Dat$Row19 -8.130417 11.242978 -0.723 0.469713
## Dat$HeightM:Dat$Column3:Dat$Row19 -16.815694 11.242978 -1.496 0.134982
## Dat$HeightL:Dat$Column4:Dat$Row19 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row19 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row2 -8.388750 11.242978 -0.746 0.455721
## Dat$HeightM:Dat$Column2:Dat$Row2 -11.866528 11.242978 -1.055 0.291409
## Dat$HeightL:Dat$Column3:Dat$Row2 -14.376250 11.242978 -1.279 0.201233
## Dat$HeightM:Dat$Column3:Dat$Row2 -7.721528 11.242978 -0.687 0.492338
## Dat$HeightL:Dat$Column4:Dat$Row2 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row2 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row20 -8.525000 10.384683 -0.821 0.411841
## Dat$HeightM:Dat$Column2:Dat$Row20 -20.403313 10.439260 -1.954 0.050857
## Dat$HeightL:Dat$Column3:Dat$Row20 -11.529583 11.242978 -1.025 0.305320
## Dat$HeightM:Dat$Column3:Dat$Row20 -16.487361 11.242978 -1.466 0.142763
## Dat$HeightL:Dat$Column4:Dat$Row20 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row20 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row21 -24.798750 10.760909 -2.305 0.021349
## Dat$HeightM:Dat$Column2:Dat$Row21 -26.474528 10.859035 -2.438 0.014900
## Dat$HeightL:Dat$Column3:Dat$Row21 -8.507917 10.760909 -0.791 0.429302
## Dat$HeightM:Dat$Column3:Dat$Row21 -12.121194 10.859035 -1.116 0.264527
## Dat$HeightL:Dat$Column4:Dat$Row21 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row21 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row22 -18.989583 11.242978 -1.689 0.091454
## Dat$HeightM:Dat$Column2:Dat$Row22 -35.962361 11.242978 -3.199 0.001414
## Dat$HeightL:Dat$Column3:Dat$Row22 -7.224583 11.242978 -0.643 0.520605
## Dat$HeightM:Dat$Column3:Dat$Row22 -9.669861 11.242978 -0.860 0.389902
## Dat$HeightL:Dat$Column4:Dat$Row22 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row22 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row23 14.053750 11.242978 1.250 0.211521
## Dat$HeightM:Dat$Column2:Dat$Row23 -7.900694 11.476421 -0.688 0.491305
## Dat$HeightL:Dat$Column3:Dat$Row23 0.461250 11.242978 0.041 0.967282
## Dat$HeightM:Dat$Column3:Dat$Row23 14.996806 11.476421 1.307 0.191527
## Dat$HeightL:Dat$Column4:Dat$Row23 3.815917 11.445570 0.333 0.738888
## Dat$HeightM:Dat$Column4:Dat$Row23 10.785655 11.564112 0.933 0.351155
## Dat$HeightL:Dat$Column2:Dat$Row24 -4.345417 11.705209 -0.371 0.710520
## Dat$HeightM:Dat$Column2:Dat$Row24 -16.876694 11.568479 -1.459 0.144845
## Dat$HeightL:Dat$Column3:Dat$Row24 -14.364583 11.242978 -1.278 0.201599
## Dat$HeightM:Dat$Column3:Dat$Row24 -15.620861 11.100556 -1.407 0.159601
## Dat$HeightL:Dat$Column4:Dat$Row24 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row24 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row25 -16.077917 11.242978 -1.430 0.152943
## Dat$HeightM:Dat$Column2:Dat$Row25 -23.915694 11.242978 -2.127 0.033592
## Dat$HeightL:Dat$Column3:Dat$Row25 1.001250 11.242978 0.089 0.929051
## Dat$HeightM:Dat$Column3:Dat$Row25 -16.731528 11.242978 -1.488 0.136945
## Dat$HeightL:Dat$Column4:Dat$Row25 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row25 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row26 20.997917 12.149868 1.728 0.084180
## Dat$HeightM:Dat$Column2:Dat$Row26 0.120139 12.149868 0.010 0.992112
## Dat$HeightL:Dat$Column3:Dat$Row26 -1.433750 11.705209 -0.122 0.902531
## Dat$HeightM:Dat$Column3:Dat$Row26 -3.951528 11.705209 -0.338 0.735728
## Dat$HeightL:Dat$Column4:Dat$Row26 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row26 NA NA NA NA
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## Dat$HeightM:Dat$Column2:Dat$Row27 -15.483194 11.242978 -1.377 0.168703
## Dat$HeightL:Dat$Column3:Dat$Row27 -7.572083 11.705209 -0.647 0.517811
## Dat$HeightM:Dat$Column3:Dat$Row27 1.675139 11.705209 0.143 0.886225
## Dat$HeightL:Dat$Column4:Dat$Row27 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row27 NA NA NA NA
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## Dat$HeightM:Dat$Column2:Dat$Row28 -23.325694 11.242978 -2.075 0.038210
## Dat$HeightL:Dat$Column3:Dat$Row28 -17.119583 11.242978 -1.523 0.128077
## Dat$HeightM:Dat$Column3:Dat$Row28 -11.094861 11.242978 -0.987 0.323910
## Dat$HeightL:Dat$Column4:Dat$Row28 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row28 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row29 0.147083 11.004584 0.013 0.989338
## Dat$HeightM:Dat$Column2:Dat$Row29 -8.736528 11.242978 -0.777 0.437260
## Dat$HeightL:Dat$Column3:Dat$Row29 10.289583 11.242978 0.915 0.360254
## Dat$HeightM:Dat$Column3:Dat$Row29 -2.553194 11.705209 -0.218 0.827366
## Dat$HeightL:Dat$Column4:Dat$Row29 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row29 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row3 -17.832083 11.242978 -1.586 0.112966
## Dat$HeightM:Dat$Column2:Dat$Row3 -39.024861 11.242978 -3.471 0.000535
## Dat$HeightL:Dat$Column3:Dat$Row3 -20.448750 11.242978 -1.819 0.069169
## Dat$HeightM:Dat$Column3:Dat$Row3 -24.189028 11.242978 -2.151 0.031620
## Dat$HeightL:Dat$Column4:Dat$Row3 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row3 NA NA NA NA
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## Dat$HeightM:Dat$Column2:Dat$Row30 -24.650694 11.705209 -2.106 0.035397
## Dat$HeightL:Dat$Column3:Dat$Row30 -19.326250 11.242978 -1.719 0.085857
## Dat$HeightM:Dat$Column3:Dat$Row30 -21.926528 11.476421 -1.911 0.056277
## Dat$HeightL:Dat$Column4:Dat$Row30 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row30 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row31 -0.430357 10.311465 -0.042 0.966716
## Dat$HeightM:Dat$Column2:Dat$Row31 -13.436944 10.384683 -1.294 0.195921
## Dat$HeightL:Dat$Column3:Dat$Row31 -2.589524 10.311465 -0.251 0.801752
## Dat$HeightM:Dat$Column3:Dat$Row31 -6.141111 10.384683 -0.591 0.554379
## Dat$HeightL:Dat$Column4:Dat$Row31 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row31 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row32 -6.439583 11.242978 -0.573 0.566902
## Dat$HeightM:Dat$Column2:Dat$Row32 -15.554861 11.242978 -1.384 0.166741
## Dat$HeightL:Dat$Column3:Dat$Row32 -5.851250 11.242978 -0.520 0.602847
## Dat$HeightM:Dat$Column3:Dat$Row32 -3.241528 11.242978 -0.288 0.773151
## Dat$HeightL:Dat$Column4:Dat$Row32 -14.097417 11.445570 -1.232 0.218285
## Dat$HeightM:Dat$Column4:Dat$Row32 -3.871012 11.332475 -0.342 0.732717
## Dat$HeightL:Dat$Column2:Dat$Row33 0.672917 11.242978 0.060 0.952282
## Dat$HeightM:Dat$Column2:Dat$Row33 -5.552361 11.242978 -0.494 0.621494
## Dat$HeightL:Dat$Column3:Dat$Row33 -15.796250 11.242978 -1.405 0.160261
## Dat$HeightM:Dat$Column3:Dat$Row33 -17.544028 11.242978 -1.560 0.118896
## Dat$HeightL:Dat$Column4:Dat$Row33 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row33 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row34 4.596250 11.242978 0.409 0.682745
## Dat$HeightM:Dat$Column2:Dat$Row34 0.108472 11.242978 0.010 0.992304
## Dat$HeightL:Dat$Column3:Dat$Row34 11.665417 11.242978 1.038 0.299660
## Dat$HeightM:Dat$Column3:Dat$Row34 11.957639 11.242978 1.064 0.287721
## Dat$HeightL:Dat$Column4:Dat$Row34 19.500083 11.445570 1.704 0.088669
## Dat$HeightM:Dat$Column4:Dat$Row34 10.711488 11.332475 0.945 0.344729
## Dat$HeightL:Dat$Column2:Dat$Row35 -0.685417 11.004584 -0.062 0.950346
## Dat$HeightM:Dat$Column2:Dat$Row35 -6.465694 11.004584 -0.588 0.556938
## Dat$HeightL:Dat$Column3:Dat$Row35 -11.051250 11.004584 -1.004 0.315448
## Dat$HeightM:Dat$Column3:Dat$Row35 -11.244028 11.004584 -1.022 0.307083
## Dat$HeightL:Dat$Column4:Dat$Row35 -2.009917 11.211485 -0.179 0.857751
## Dat$HeightM:Dat$Column4:Dat$Row35 3.471488 11.096004 0.313 0.754437
## Dat$HeightL:Dat$Column2:Dat$Row36 -12.072917 11.476421 -1.052 0.293004
## Dat$HeightM:Dat$Column2:Dat$Row36 -15.149861 11.242978 -1.347 0.178053
## Dat$HeightL:Dat$Column3:Dat$Row36 -8.041250 11.476421 -0.701 0.483630
## Dat$HeightM:Dat$Column3:Dat$Row36 5.374306 11.242978 0.478 0.632720
## Dat$HeightL:Dat$Column4:Dat$Row36 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row36 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row37 -5.012083 11.476421 -0.437 0.662380
## Dat$HeightM:Dat$Column2:Dat$Row37 -6.267361 11.242978 -0.557 0.577317
## Dat$HeightL:Dat$Column3:Dat$Row37 1.328750 11.476421 0.116 0.907844
## Dat$HeightM:Dat$Column3:Dat$Row37 5.548472 11.242978 0.494 0.621738
## Dat$HeightL:Dat$Column4:Dat$Row37 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row37 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row38 4.765417 11.476421 0.415 0.678037
## Dat$HeightM:Dat$Column2:Dat$Row38 4.029306 11.705209 0.344 0.730727
## Dat$HeightL:Dat$Column3:Dat$Row38 -5.596250 11.705209 -0.478 0.632659
## Dat$HeightM:Dat$Column3:Dat$Row38 12.216806 11.929611 1.024 0.305989
## Dat$HeightL:Dat$Column4:Dat$Row38 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row38 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row39 7.585417 11.242978 0.675 0.499998
## Dat$HeightM:Dat$Column2:Dat$Row39 3.715139 11.242978 0.330 0.741120
## Dat$HeightL:Dat$Column3:Dat$Row39 -12.134583 11.242978 -1.079 0.280651
## Dat$HeightM:Dat$Column3:Dat$Row39 -21.382361 11.242978 -1.902 0.057411
## Dat$HeightL:Dat$Column4:Dat$Row39 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row39 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row4 1.435417 11.004584 0.130 0.896240
## Dat$HeightM:Dat$Column2:Dat$Row4 -5.969861 11.242978 -0.531 0.595518
## Dat$HeightL:Dat$Column3:Dat$Row4 -3.116250 11.004584 -0.283 0.777085
## Dat$HeightM:Dat$Column3:Dat$Row4 7.578472 11.242978 0.674 0.500390
## Dat$HeightL:Dat$Column4:Dat$Row4 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row4 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row40 -26.921250 11.242978 -2.394 0.016783
## Dat$HeightM:Dat$Column2:Dat$Row40 -37.139028 11.242978 -3.303 0.000981
## Dat$HeightL:Dat$Column3:Dat$Row40 -24.474583 11.242978 -2.177 0.029667
## Dat$HeightM:Dat$Column3:Dat$Row40 -20.614861 11.242978 -1.834 0.066943
## Dat$HeightL:Dat$Column4:Dat$Row40 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row40 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row41 3.948631 10.690268 0.369 0.711914
## Dat$HeightM:Dat$Column2:Dat$Row41 -6.604861 10.760909 -0.614 0.539465
## Dat$HeightL:Dat$Column3:Dat$Row41 -1.443869 10.690268 -0.135 0.892582
## Dat$HeightM:Dat$Column3:Dat$Row41 3.757639 10.760909 0.349 0.727000
## Dat$HeightL:Dat$Column4:Dat$Row41 1.626631 11.609885 0.140 0.888597
## Dat$HeightM:Dat$Column4:Dat$Row41 6.849821 11.564112 0.592 0.553729
## Dat$HeightL:Dat$Column2:Dat$Row42 9.189583 11.476421 0.801 0.423429
## Dat$HeightM:Dat$Column2:Dat$Row42 -13.662861 11.100556 -1.231 0.218608
## Dat$HeightL:Dat$Column3:Dat$Row42 0.673750 11.476421 0.059 0.953194
## Dat$HeightM:Dat$Column3:Dat$Row42 -10.573694 11.100556 -0.953 0.341000
## Dat$HeightL:Dat$Column4:Dat$Row42 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row42 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row43 -1.893750 11.242978 -0.168 0.866264
## Dat$HeightM:Dat$Column2:Dat$Row43 -15.071528 11.242978 -1.341 0.180306
## Dat$HeightL:Dat$Column3:Dat$Row43 -4.338750 11.705209 -0.371 0.710944
## Dat$HeightM:Dat$Column3:Dat$Row43 -7.607361 11.929611 -0.638 0.523788
## Dat$HeightL:Dat$Column4:Dat$Row43 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row43 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row44 -19.709583 11.705209 -1.684 0.092452
## Dat$HeightM:Dat$Column2:Dat$Row44 -11.924861 11.705209 -1.019 0.308502
## Dat$HeightL:Dat$Column3:Dat$Row44 -21.865417 11.705209 -1.868 0.061984
## Dat$HeightM:Dat$Column3:Dat$Row44 3.739306 11.705209 0.319 0.749431
## Dat$HeightL:Dat$Column4:Dat$Row44 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row44 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row45 -6.447083 11.242978 -0.573 0.566450
## Dat$HeightM:Dat$Column2:Dat$Row45 -24.534861 11.242978 -2.182 0.029269
## Dat$HeightL:Dat$Column3:Dat$Row45 4.171250 11.242978 0.371 0.710690
## Dat$HeightM:Dat$Column3:Dat$Row45 -9.065694 11.476421 -0.790 0.429705
## Dat$HeightL:Dat$Column4:Dat$Row45 -12.226583 11.445570 -1.068 0.285610
## Dat$HeightM:Dat$Column4:Dat$Row45 -24.765179 11.332475 -2.185 0.029041
## Dat$HeightL:Dat$Column2:Dat$Row46 -23.025417 11.929611 -1.930 0.053809
## Dat$HeightM:Dat$Column2:Dat$Row46 -36.650861 11.568479 -3.168 0.001569
## Dat$HeightL:Dat$Column3:Dat$Row46 -23.469583 11.929611 -1.967 0.049354
## Dat$HeightM:Dat$Column3:Dat$Row46 -26.830028 11.568479 -2.319 0.020535
## Dat$HeightL:Dat$Column4:Dat$Row46 -26.380750 12.120732 -2.176 0.029696
## Dat$HeightM:Dat$Column4:Dat$Row46 -27.869512 11.655478 -2.391 0.016938
## Dat$HeightL:Dat$Column2:Dat$Row47 -21.743750 11.242978 -1.934 0.053330
## Dat$HeightM:Dat$Column2:Dat$Row47 -23.869028 11.242978 -2.123 0.033939
## Dat$HeightL:Dat$Column3:Dat$Row47 -13.072083 11.004584 -1.188 0.235097
## Dat$HeightM:Dat$Column3:Dat$Row47 -29.756528 11.242978 -2.647 0.008226
## Dat$HeightL:Dat$Column4:Dat$Row47 -17.229083 11.674963 -1.476 0.140256
## Dat$HeightM:Dat$Column4:Dat$Row47 -10.169345 11.332475 -0.897 0.369690
## Dat$HeightL:Dat$Column2:Dat$Row48 -13.358750 11.705209 -1.141 0.253968
## Dat$HeightM:Dat$Column2:Dat$Row48 -16.859028 11.705209 -1.440 0.150021
## Dat$HeightL:Dat$Column3:Dat$Row48 -17.395750 10.859035 -1.602 0.109405
## Dat$HeightM:Dat$Column3:Dat$Row48 -1.934861 11.242978 -0.172 0.863389
## Dat$HeightL:Dat$Column4:Dat$Row48 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row48 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row49 6.746250 11.242978 0.600 0.548582
## Dat$HeightM:Dat$Column2:Dat$Row49 -1.881528 11.242978 -0.167 0.867119
## Dat$HeightL:Dat$Column3:Dat$Row49 11.660417 11.242978 1.037 0.299867
## Dat$HeightM:Dat$Column3:Dat$Row49 6.777639 11.242978 0.603 0.546724
## Dat$HeightL:Dat$Column4:Dat$Row49 6.511750 11.445570 0.569 0.569500
## Dat$HeightM:Dat$Column4:Dat$Row49 2.095655 11.332475 0.185 0.853317
## Dat$HeightL:Dat$Column2:Dat$Row5 -6.924583 11.476421 -0.603 0.546364
## Dat$HeightM:Dat$Column2:Dat$Row5 -7.128194 11.242978 -0.634 0.526183
## Dat$HeightL:Dat$Column3:Dat$Row5 -22.312083 11.476421 -1.944 0.052089
## Dat$HeightM:Dat$Column3:Dat$Row5 -5.790694 11.242978 -0.515 0.606605
## Dat$HeightL:Dat$Column4:Dat$Row5 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row5 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row50 -3.527167 10.178344 -0.347 0.728995
## Dat$HeightM:Dat$Column2:Dat$Row50 -20.400516 10.311465 -1.978 0.048089
## Dat$HeightL:Dat$Column3:Dat$Row50 7.462000 10.178344 0.733 0.463613
## Dat$HeightM:Dat$Column3:Dat$Row50 0.296151 10.311465 0.029 0.977092
## Dat$HeightL:Dat$Column4:Dat$Row50 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row50 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row6 -17.895417 11.242978 -1.592 0.111693
## Dat$HeightM:Dat$Column2:Dat$Row6 -20.208194 11.242978 -1.797 0.072501
## Dat$HeightL:Dat$Column3:Dat$Row6 -20.869583 11.242978 -1.856 0.063644
## Dat$HeightM:Dat$Column3:Dat$Row6 -1.872361 11.242978 -0.167 0.867761
## Dat$HeightL:Dat$Column4:Dat$Row6 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row6 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row7 -3.741250 11.242978 -0.333 0.739366
## Dat$HeightM:Dat$Column2:Dat$Row7 -26.421528 11.242978 -2.350 0.018918
## Dat$HeightL:Dat$Column3:Dat$Row7 -22.672083 11.242978 -2.017 0.043945
## Dat$HeightM:Dat$Column3:Dat$Row7 -13.089861 11.242978 -1.164 0.244526
## Dat$HeightL:Dat$Column4:Dat$Row7 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row7 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row8 -19.088750 11.242978 -1.698 0.089775
## Dat$HeightM:Dat$Column2:Dat$Row8 -18.454028 11.242978 -1.641 0.100958
## Dat$HeightL:Dat$Column3:Dat$Row8 -0.348750 11.242978 -0.031 0.975259
## Dat$HeightM:Dat$Column3:Dat$Row8 0.963472 11.242978 0.086 0.931722
## Dat$HeightL:Dat$Column4:Dat$Row8 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row8 NA NA NA NA
## Dat$HeightL:Dat$Column2:Dat$Row9 -4.826250 11.242978 -0.429 0.667799
## Dat$HeightM:Dat$Column2:Dat$Row9 -7.944028 11.242978 -0.707 0.479955
## Dat$HeightL:Dat$Column3:Dat$Row9 2.011250 11.004584 0.183 0.855011
## Dat$HeightM:Dat$Column3:Dat$Row9 -0.136528 11.004584 -0.012 0.990103
## Dat$HeightL:Dat$Column4:Dat$Row9 NA NA NA NA
## Dat$HeightM:Dat$Column4:Dat$Row9 NA NA NA NA
##
## (Intercept) .
## Dat$HeightL *
## Dat$HeightM .
## Dat$Column2
## Dat$Column3
## Dat$Column4
## Dat$Row10
## Dat$Row11 *
## Dat$Row12
## Dat$Row13
## Dat$Row14
## Dat$Row15
## Dat$Row16
## Dat$Row17
## Dat$Row18 *
## Dat$Row19 .
## Dat$Row2
## Dat$Row20
## Dat$Row21
## Dat$Row22 **
## Dat$Row23
## Dat$Row24 *
## Dat$Row25 *
## Dat$Row26
## Dat$Row27
## Dat$Row28
## Dat$Row29
## Dat$Row3 .
## Dat$Row30 *
## Dat$Row31
## Dat$Row32
## Dat$Row33
## Dat$Row34
## Dat$Row35
## Dat$Row36
## Dat$Row37
## Dat$Row38
## Dat$Row39
## Dat$Row4
## Dat$Row40 *
## Dat$Row41
## Dat$Row42
## Dat$Row43 .
## Dat$Row44
## Dat$Row45
## Dat$Row46 *
## Dat$Row47
## Dat$Row48
## Dat$Row49
## Dat$Row5
## Dat$Row50
## Dat$Row6
## Dat$Row7 *
## Dat$Row8
## Dat$Row9
## Dat$HeightL:Dat$Column2
## Dat$HeightM:Dat$Column2 *
## Dat$HeightL:Dat$Column3
## Dat$HeightM:Dat$Column3
## Dat$HeightL:Dat$Column4
## Dat$HeightM:Dat$Column4
## Dat$HeightL:Dat$Row10
## Dat$HeightM:Dat$Row10
## Dat$HeightL:Dat$Row11 **
## Dat$HeightM:Dat$Row11 .
## Dat$HeightL:Dat$Row12
## Dat$HeightM:Dat$Row12
## Dat$HeightL:Dat$Row13
## Dat$HeightM:Dat$Row13
## Dat$HeightL:Dat$Row14
## Dat$HeightM:Dat$Row14
## Dat$HeightL:Dat$Row15
## Dat$HeightM:Dat$Row15
## Dat$HeightL:Dat$Row16
## Dat$HeightM:Dat$Row16
## Dat$HeightL:Dat$Row17
## Dat$HeightM:Dat$Row17
## Dat$HeightL:Dat$Row18 .
## Dat$HeightM:Dat$Row18
## Dat$HeightL:Dat$Row19
## Dat$HeightM:Dat$Row19 *
## Dat$HeightL:Dat$Row2
## Dat$HeightM:Dat$Row2
## Dat$HeightL:Dat$Row20
## Dat$HeightM:Dat$Row20
## Dat$HeightL:Dat$Row21 *
## Dat$HeightM:Dat$Row21
## Dat$HeightL:Dat$Row22 **
## Dat$HeightM:Dat$Row22 *
## Dat$HeightL:Dat$Row23
## Dat$HeightM:Dat$Row23
## Dat$HeightL:Dat$Row24 .
## Dat$HeightM:Dat$Row24 .
## Dat$HeightL:Dat$Row25
## Dat$HeightM:Dat$Row25 *
## Dat$HeightL:Dat$Row26
## Dat$HeightM:Dat$Row26
## Dat$HeightL:Dat$Row27
## Dat$HeightM:Dat$Row27
## Dat$HeightL:Dat$Row28 *
## Dat$HeightM:Dat$Row28 .
## Dat$HeightL:Dat$Row29
## Dat$HeightM:Dat$Row29
## Dat$HeightL:Dat$Row3
## Dat$HeightM:Dat$Row3 *
## Dat$HeightL:Dat$Row30 *
## Dat$HeightM:Dat$Row30 *
## Dat$HeightL:Dat$Row31
## Dat$HeightM:Dat$Row31
## Dat$HeightL:Dat$Row32
## Dat$HeightM:Dat$Row32
## Dat$HeightL:Dat$Row33
## Dat$HeightM:Dat$Row33
## Dat$HeightL:Dat$Row34
## Dat$HeightM:Dat$Row34
## Dat$HeightL:Dat$Row35
## Dat$HeightM:Dat$Row35
## Dat$HeightL:Dat$Row36
## Dat$HeightM:Dat$Row36
## Dat$HeightL:Dat$Row37
## Dat$HeightM:Dat$Row37
## Dat$HeightL:Dat$Row38
## Dat$HeightM:Dat$Row38
## Dat$HeightL:Dat$Row39
## Dat$HeightM:Dat$Row39
## Dat$HeightL:Dat$Row4
## Dat$HeightM:Dat$Row4
## Dat$HeightL:Dat$Row40 **
## Dat$HeightM:Dat$Row40 **
## Dat$HeightL:Dat$Row41
## Dat$HeightM:Dat$Row41
## Dat$HeightL:Dat$Row42
## Dat$HeightM:Dat$Row42
## Dat$HeightL:Dat$Row43
## Dat$HeightM:Dat$Row43
## Dat$HeightL:Dat$Row44 *
## Dat$HeightM:Dat$Row44
## Dat$HeightL:Dat$Row45
## Dat$HeightM:Dat$Row45 .
## Dat$HeightL:Dat$Row46 *
## Dat$HeightM:Dat$Row46 **
## Dat$HeightL:Dat$Row47 .
## Dat$HeightM:Dat$Row47
## Dat$HeightL:Dat$Row48 .
## Dat$HeightM:Dat$Row48
## Dat$HeightL:Dat$Row49
## Dat$HeightM:Dat$Row49
## Dat$HeightL:Dat$Row5
## Dat$HeightM:Dat$Row5
## Dat$HeightL:Dat$Row50
## Dat$HeightM:Dat$Row50
## Dat$HeightL:Dat$Row6
## Dat$HeightM:Dat$Row6
## Dat$HeightL:Dat$Row7 *
## Dat$HeightM:Dat$Row7 *
## Dat$HeightL:Dat$Row8
## Dat$HeightM:Dat$Row8
## Dat$HeightL:Dat$Row9
## Dat$HeightM:Dat$Row9
## Dat$Column2:Dat$Row10
## Dat$Column3:Dat$Row10
## Dat$Column4:Dat$Row10
## Dat$Column2:Dat$Row11
## Dat$Column3:Dat$Row11 *
## Dat$Column4:Dat$Row11
## Dat$Column2:Dat$Row12
## Dat$Column3:Dat$Row12
## Dat$Column4:Dat$Row12
## Dat$Column2:Dat$Row13
## Dat$Column3:Dat$Row13
## Dat$Column4:Dat$Row13
## Dat$Column2:Dat$Row14
## Dat$Column3:Dat$Row14
## Dat$Column4:Dat$Row14
## Dat$Column2:Dat$Row15
## Dat$Column3:Dat$Row15
## Dat$Column4:Dat$Row15
## Dat$Column2:Dat$Row16
## Dat$Column3:Dat$Row16
## Dat$Column4:Dat$Row16
## Dat$Column2:Dat$Row17
## Dat$Column3:Dat$Row17
## Dat$Column4:Dat$Row17
## Dat$Column2:Dat$Row18
## Dat$Column3:Dat$Row18 .
## Dat$Column4:Dat$Row18
## Dat$Column2:Dat$Row19
## Dat$Column3:Dat$Row19
## Dat$Column4:Dat$Row19
## Dat$Column2:Dat$Row2
## Dat$Column3:Dat$Row2
## Dat$Column4:Dat$Row2
## Dat$Column2:Dat$Row20
## Dat$Column3:Dat$Row20
## Dat$Column4:Dat$Row20
## Dat$Column2:Dat$Row21
## Dat$Column3:Dat$Row21
## Dat$Column4:Dat$Row21
## Dat$Column2:Dat$Row22 *
## Dat$Column3:Dat$Row22
## Dat$Column4:Dat$Row22
## Dat$Column2:Dat$Row23
## Dat$Column3:Dat$Row23
## Dat$Column4:Dat$Row23
## Dat$Column2:Dat$Row24
## Dat$Column3:Dat$Row24 .
## Dat$Column4:Dat$Row24
## Dat$Column2:Dat$Row25
## Dat$Column3:Dat$Row25
## Dat$Column4:Dat$Row25
## Dat$Column2:Dat$Row26
## Dat$Column3:Dat$Row26
## Dat$Column4:Dat$Row26
## Dat$Column2:Dat$Row27
## Dat$Column3:Dat$Row27
## Dat$Column4:Dat$Row27
## Dat$Column2:Dat$Row28
## Dat$Column3:Dat$Row28
## Dat$Column4:Dat$Row28
## Dat$Column2:Dat$Row29
## Dat$Column3:Dat$Row29
## Dat$Column4:Dat$Row29
## Dat$Column2:Dat$Row3 .
## Dat$Column3:Dat$Row3 *
## Dat$Column4:Dat$Row3
## Dat$Column2:Dat$Row30
## Dat$Column3:Dat$Row30
## Dat$Column4:Dat$Row30
## Dat$Column2:Dat$Row31
## Dat$Column3:Dat$Row31
## Dat$Column4:Dat$Row31
## Dat$Column2:Dat$Row32
## Dat$Column3:Dat$Row32
## Dat$Column4:Dat$Row32
## Dat$Column2:Dat$Row33
## Dat$Column3:Dat$Row33 .
## Dat$Column4:Dat$Row33
## Dat$Column2:Dat$Row34
## Dat$Column3:Dat$Row34
## Dat$Column4:Dat$Row34
## Dat$Column2:Dat$Row35
## Dat$Column3:Dat$Row35
## Dat$Column4:Dat$Row35
## Dat$Column2:Dat$Row36
## Dat$Column3:Dat$Row36
## Dat$Column4:Dat$Row36
## Dat$Column2:Dat$Row37
## Dat$Column3:Dat$Row37
## Dat$Column4:Dat$Row37
## Dat$Column2:Dat$Row38
## Dat$Column3:Dat$Row38
## Dat$Column4:Dat$Row38
## Dat$Column2:Dat$Row39
## Dat$Column3:Dat$Row39
## Dat$Column4:Dat$Row39
## Dat$Column2:Dat$Row4
## Dat$Column3:Dat$Row4
## Dat$Column4:Dat$Row4
## Dat$Column2:Dat$Row40 *
## Dat$Column3:Dat$Row40 .
## Dat$Column4:Dat$Row40
## Dat$Column2:Dat$Row41
## Dat$Column3:Dat$Row41
## Dat$Column4:Dat$Row41
## Dat$Column2:Dat$Row42
## Dat$Column3:Dat$Row42
## Dat$Column4:Dat$Row42
## Dat$Column2:Dat$Row43
## Dat$Column3:Dat$Row43
## Dat$Column4:Dat$Row43
## Dat$Column2:Dat$Row44
## Dat$Column3:Dat$Row44
## Dat$Column4:Dat$Row44
## Dat$Column2:Dat$Row45 .
## Dat$Column3:Dat$Row45
## Dat$Column4:Dat$Row45
## Dat$Column2:Dat$Row46 *
## Dat$Column3:Dat$Row46 *
## Dat$Column4:Dat$Row46 .
## Dat$Column2:Dat$Row47
## Dat$Column3:Dat$Row47 *
## Dat$Column4:Dat$Row47
## Dat$Column2:Dat$Row48
## Dat$Column3:Dat$Row48
## Dat$Column4:Dat$Row48
## Dat$Column2:Dat$Row49
## Dat$Column3:Dat$Row49
## Dat$Column4:Dat$Row49
## Dat$Column2:Dat$Row5
## Dat$Column3:Dat$Row5 .
## Dat$Column4:Dat$Row5
## Dat$Column2:Dat$Row50
## Dat$Column3:Dat$Row50
## Dat$Column4:Dat$Row50
## Dat$Column2:Dat$Row6
## Dat$Column3:Dat$Row6
## Dat$Column4:Dat$Row6
## Dat$Column2:Dat$Row7
## Dat$Column3:Dat$Row7 .
## Dat$Column4:Dat$Row7
## Dat$Column2:Dat$Row8
## Dat$Column3:Dat$Row8
## Dat$Column4:Dat$Row8
## Dat$Column2:Dat$Row9
## Dat$Column3:Dat$Row9
## Dat$Column4:Dat$Row9
## Dat$HeightL:Dat$Column2:Dat$Row10
## Dat$HeightM:Dat$Column2:Dat$Row10
## Dat$HeightL:Dat$Column3:Dat$Row10
## Dat$HeightM:Dat$Column3:Dat$Row10
## Dat$HeightL:Dat$Column4:Dat$Row10
## Dat$HeightM:Dat$Column4:Dat$Row10
## Dat$HeightL:Dat$Column2:Dat$Row11
## Dat$HeightM:Dat$Column2:Dat$Row11
## Dat$HeightL:Dat$Column3:Dat$Row11
## Dat$HeightM:Dat$Column3:Dat$Row11 *
## Dat$HeightL:Dat$Column4:Dat$Row11
## Dat$HeightM:Dat$Column4:Dat$Row11
## Dat$HeightL:Dat$Column2:Dat$Row12
## Dat$HeightM:Dat$Column2:Dat$Row12
## Dat$HeightL:Dat$Column3:Dat$Row12
## Dat$HeightM:Dat$Column3:Dat$Row12
## Dat$HeightL:Dat$Column4:Dat$Row12
## Dat$HeightM:Dat$Column4:Dat$Row12
## Dat$HeightL:Dat$Column2:Dat$Row13
## Dat$HeightM:Dat$Column2:Dat$Row13 .
## Dat$HeightL:Dat$Column3:Dat$Row13
## Dat$HeightM:Dat$Column3:Dat$Row13
## Dat$HeightL:Dat$Column4:Dat$Row13
## Dat$HeightM:Dat$Column4:Dat$Row13
## Dat$HeightL:Dat$Column2:Dat$Row14
## Dat$HeightM:Dat$Column2:Dat$Row14
## Dat$HeightL:Dat$Column3:Dat$Row14
## Dat$HeightM:Dat$Column3:Dat$Row14
## Dat$HeightL:Dat$Column4:Dat$Row14
## Dat$HeightM:Dat$Column4:Dat$Row14
## Dat$HeightL:Dat$Column2:Dat$Row15
## Dat$HeightM:Dat$Column2:Dat$Row15
## Dat$HeightL:Dat$Column3:Dat$Row15
## Dat$HeightM:Dat$Column3:Dat$Row15
## Dat$HeightL:Dat$Column4:Dat$Row15
## Dat$HeightM:Dat$Column4:Dat$Row15
## Dat$HeightL:Dat$Column2:Dat$Row16
## Dat$HeightM:Dat$Column2:Dat$Row16
## Dat$HeightL:Dat$Column3:Dat$Row16
## Dat$HeightM:Dat$Column3:Dat$Row16
## Dat$HeightL:Dat$Column4:Dat$Row16
## Dat$HeightM:Dat$Column4:Dat$Row16
## Dat$HeightL:Dat$Column2:Dat$Row17
## Dat$HeightM:Dat$Column2:Dat$Row17
## Dat$HeightL:Dat$Column3:Dat$Row17
## Dat$HeightM:Dat$Column3:Dat$Row17
## Dat$HeightL:Dat$Column4:Dat$Row17
## Dat$HeightM:Dat$Column4:Dat$Row17
## Dat$HeightL:Dat$Column2:Dat$Row18
## Dat$HeightM:Dat$Column2:Dat$Row18
## Dat$HeightL:Dat$Column3:Dat$Row18 .
## Dat$HeightM:Dat$Column3:Dat$Row18
## Dat$HeightL:Dat$Column4:Dat$Row18
## Dat$HeightM:Dat$Column4:Dat$Row18
## Dat$HeightL:Dat$Column2:Dat$Row19
## Dat$HeightM:Dat$Column2:Dat$Row19 **
## Dat$HeightL:Dat$Column3:Dat$Row19
## Dat$HeightM:Dat$Column3:Dat$Row19
## Dat$HeightL:Dat$Column4:Dat$Row19
## Dat$HeightM:Dat$Column4:Dat$Row19
## Dat$HeightL:Dat$Column2:Dat$Row2
## Dat$HeightM:Dat$Column2:Dat$Row2
## Dat$HeightL:Dat$Column3:Dat$Row2
## Dat$HeightM:Dat$Column3:Dat$Row2
## Dat$HeightL:Dat$Column4:Dat$Row2
## Dat$HeightM:Dat$Column4:Dat$Row2
## Dat$HeightL:Dat$Column2:Dat$Row20
## Dat$HeightM:Dat$Column2:Dat$Row20 .
## Dat$HeightL:Dat$Column3:Dat$Row20
## Dat$HeightM:Dat$Column3:Dat$Row20
## Dat$HeightL:Dat$Column4:Dat$Row20
## Dat$HeightM:Dat$Column4:Dat$Row20
## Dat$HeightL:Dat$Column2:Dat$Row21 *
## Dat$HeightM:Dat$Column2:Dat$Row21 *
## Dat$HeightL:Dat$Column3:Dat$Row21
## Dat$HeightM:Dat$Column3:Dat$Row21
## Dat$HeightL:Dat$Column4:Dat$Row21
## Dat$HeightM:Dat$Column4:Dat$Row21
## Dat$HeightL:Dat$Column2:Dat$Row22 .
## Dat$HeightM:Dat$Column2:Dat$Row22 **
## Dat$HeightL:Dat$Column3:Dat$Row22
## Dat$HeightM:Dat$Column3:Dat$Row22
## Dat$HeightL:Dat$Column4:Dat$Row22
## Dat$HeightM:Dat$Column4:Dat$Row22
## Dat$HeightL:Dat$Column2:Dat$Row23
## Dat$HeightM:Dat$Column2:Dat$Row23
## Dat$HeightL:Dat$Column3:Dat$Row23
## Dat$HeightM:Dat$Column3:Dat$Row23
## Dat$HeightL:Dat$Column4:Dat$Row23
## Dat$HeightM:Dat$Column4:Dat$Row23
## Dat$HeightL:Dat$Column2:Dat$Row24
## Dat$HeightM:Dat$Column2:Dat$Row24
## Dat$HeightL:Dat$Column3:Dat$Row24
## Dat$HeightM:Dat$Column3:Dat$Row24
## Dat$HeightL:Dat$Column4:Dat$Row24
## Dat$HeightM:Dat$Column4:Dat$Row24
## Dat$HeightL:Dat$Column2:Dat$Row25
## Dat$HeightM:Dat$Column2:Dat$Row25 *
## Dat$HeightL:Dat$Column3:Dat$Row25
## Dat$HeightM:Dat$Column3:Dat$Row25
## Dat$HeightL:Dat$Column4:Dat$Row25
## Dat$HeightM:Dat$Column4:Dat$Row25
## Dat$HeightL:Dat$Column2:Dat$Row26 .
## Dat$HeightM:Dat$Column2:Dat$Row26
## Dat$HeightL:Dat$Column3:Dat$Row26
## Dat$HeightM:Dat$Column3:Dat$Row26
## Dat$HeightL:Dat$Column4:Dat$Row26
## Dat$HeightM:Dat$Column4:Dat$Row26
## Dat$HeightL:Dat$Column2:Dat$Row27
## Dat$HeightM:Dat$Column2:Dat$Row27
## Dat$HeightL:Dat$Column3:Dat$Row27
## Dat$HeightM:Dat$Column3:Dat$Row27
## Dat$HeightL:Dat$Column4:Dat$Row27
## Dat$HeightM:Dat$Column4:Dat$Row27
## Dat$HeightL:Dat$Column2:Dat$Row28
## Dat$HeightM:Dat$Column2:Dat$Row28 *
## Dat$HeightL:Dat$Column3:Dat$Row28
## Dat$HeightM:Dat$Column3:Dat$Row28
## Dat$HeightL:Dat$Column4:Dat$Row28
## Dat$HeightM:Dat$Column4:Dat$Row28
## Dat$HeightL:Dat$Column2:Dat$Row29
## Dat$HeightM:Dat$Column2:Dat$Row29
## Dat$HeightL:Dat$Column3:Dat$Row29
## Dat$HeightM:Dat$Column3:Dat$Row29
## Dat$HeightL:Dat$Column4:Dat$Row29
## Dat$HeightM:Dat$Column4:Dat$Row29
## Dat$HeightL:Dat$Column2:Dat$Row3
## Dat$HeightM:Dat$Column2:Dat$Row3 ***
## Dat$HeightL:Dat$Column3:Dat$Row3 .
## Dat$HeightM:Dat$Column3:Dat$Row3 *
## Dat$HeightL:Dat$Column4:Dat$Row3
## Dat$HeightM:Dat$Column4:Dat$Row3
## Dat$HeightL:Dat$Column2:Dat$Row30
## Dat$HeightM:Dat$Column2:Dat$Row30 *
## Dat$HeightL:Dat$Column3:Dat$Row30 .
## Dat$HeightM:Dat$Column3:Dat$Row30 .
## Dat$HeightL:Dat$Column4:Dat$Row30
## Dat$HeightM:Dat$Column4:Dat$Row30
## Dat$HeightL:Dat$Column2:Dat$Row31
## Dat$HeightM:Dat$Column2:Dat$Row31
## Dat$HeightL:Dat$Column3:Dat$Row31
## Dat$HeightM:Dat$Column3:Dat$Row31
## Dat$HeightL:Dat$Column4:Dat$Row31
## Dat$HeightM:Dat$Column4:Dat$Row31
## Dat$HeightL:Dat$Column2:Dat$Row32
## Dat$HeightM:Dat$Column2:Dat$Row32
## Dat$HeightL:Dat$Column3:Dat$Row32
## Dat$HeightM:Dat$Column3:Dat$Row32
## Dat$HeightL:Dat$Column4:Dat$Row32
## Dat$HeightM:Dat$Column4:Dat$Row32
## Dat$HeightL:Dat$Column2:Dat$Row33
## Dat$HeightM:Dat$Column2:Dat$Row33
## Dat$HeightL:Dat$Column3:Dat$Row33
## Dat$HeightM:Dat$Column3:Dat$Row33
## Dat$HeightL:Dat$Column4:Dat$Row33
## Dat$HeightM:Dat$Column4:Dat$Row33
## Dat$HeightL:Dat$Column2:Dat$Row34
## Dat$HeightM:Dat$Column2:Dat$Row34
## Dat$HeightL:Dat$Column3:Dat$Row34
## Dat$HeightM:Dat$Column3:Dat$Row34
## Dat$HeightL:Dat$Column4:Dat$Row34 .
## Dat$HeightM:Dat$Column4:Dat$Row34
## Dat$HeightL:Dat$Column2:Dat$Row35
## Dat$HeightM:Dat$Column2:Dat$Row35
## Dat$HeightL:Dat$Column3:Dat$Row35
## Dat$HeightM:Dat$Column3:Dat$Row35
## Dat$HeightL:Dat$Column4:Dat$Row35
## Dat$HeightM:Dat$Column4:Dat$Row35
## Dat$HeightL:Dat$Column2:Dat$Row36
## Dat$HeightM:Dat$Column2:Dat$Row36
## Dat$HeightL:Dat$Column3:Dat$Row36
## Dat$HeightM:Dat$Column3:Dat$Row36
## Dat$HeightL:Dat$Column4:Dat$Row36
## Dat$HeightM:Dat$Column4:Dat$Row36
## Dat$HeightL:Dat$Column2:Dat$Row37
## Dat$HeightM:Dat$Column2:Dat$Row37
## Dat$HeightL:Dat$Column3:Dat$Row37
## Dat$HeightM:Dat$Column3:Dat$Row37
## Dat$HeightL:Dat$Column4:Dat$Row37
## Dat$HeightM:Dat$Column4:Dat$Row37
## Dat$HeightL:Dat$Column2:Dat$Row38
## Dat$HeightM:Dat$Column2:Dat$Row38
## Dat$HeightL:Dat$Column3:Dat$Row38
## Dat$HeightM:Dat$Column3:Dat$Row38
## Dat$HeightL:Dat$Column4:Dat$Row38
## Dat$HeightM:Dat$Column4:Dat$Row38
## Dat$HeightL:Dat$Column2:Dat$Row39
## Dat$HeightM:Dat$Column2:Dat$Row39
## Dat$HeightL:Dat$Column3:Dat$Row39
## Dat$HeightM:Dat$Column3:Dat$Row39 .
## Dat$HeightL:Dat$Column4:Dat$Row39
## Dat$HeightM:Dat$Column4:Dat$Row39
## Dat$HeightL:Dat$Column2:Dat$Row4
## Dat$HeightM:Dat$Column2:Dat$Row4
## Dat$HeightL:Dat$Column3:Dat$Row4
## Dat$HeightM:Dat$Column3:Dat$Row4
## Dat$HeightL:Dat$Column4:Dat$Row4
## Dat$HeightM:Dat$Column4:Dat$Row4
## Dat$HeightL:Dat$Column2:Dat$Row40 *
## Dat$HeightM:Dat$Column2:Dat$Row40 ***
## Dat$HeightL:Dat$Column3:Dat$Row40 *
## Dat$HeightM:Dat$Column3:Dat$Row40 .
## Dat$HeightL:Dat$Column4:Dat$Row40
## Dat$HeightM:Dat$Column4:Dat$Row40
## Dat$HeightL:Dat$Column2:Dat$Row41
## Dat$HeightM:Dat$Column2:Dat$Row41
## Dat$HeightL:Dat$Column3:Dat$Row41
## Dat$HeightM:Dat$Column3:Dat$Row41
## Dat$HeightL:Dat$Column4:Dat$Row41
## Dat$HeightM:Dat$Column4:Dat$Row41
## Dat$HeightL:Dat$Column2:Dat$Row42
## Dat$HeightM:Dat$Column2:Dat$Row42
## Dat$HeightL:Dat$Column3:Dat$Row42
## Dat$HeightM:Dat$Column3:Dat$Row42
## Dat$HeightL:Dat$Column4:Dat$Row42
## Dat$HeightM:Dat$Column4:Dat$Row42
## Dat$HeightL:Dat$Column2:Dat$Row43
## Dat$HeightM:Dat$Column2:Dat$Row43
## Dat$HeightL:Dat$Column3:Dat$Row43
## Dat$HeightM:Dat$Column3:Dat$Row43
## Dat$HeightL:Dat$Column4:Dat$Row43
## Dat$HeightM:Dat$Column4:Dat$Row43
## Dat$HeightL:Dat$Column2:Dat$Row44 .
## Dat$HeightM:Dat$Column2:Dat$Row44
## Dat$HeightL:Dat$Column3:Dat$Row44 .
## Dat$HeightM:Dat$Column3:Dat$Row44
## Dat$HeightL:Dat$Column4:Dat$Row44
## Dat$HeightM:Dat$Column4:Dat$Row44
## Dat$HeightL:Dat$Column2:Dat$Row45
## Dat$HeightM:Dat$Column2:Dat$Row45 *
## Dat$HeightL:Dat$Column3:Dat$Row45
## Dat$HeightM:Dat$Column3:Dat$Row45
## Dat$HeightL:Dat$Column4:Dat$Row45
## Dat$HeightM:Dat$Column4:Dat$Row45 *
## Dat$HeightL:Dat$Column2:Dat$Row46 .
## Dat$HeightM:Dat$Column2:Dat$Row46 **
## Dat$HeightL:Dat$Column3:Dat$Row46 *
## Dat$HeightM:Dat$Column3:Dat$Row46 *
## Dat$HeightL:Dat$Column4:Dat$Row46 *
## Dat$HeightM:Dat$Column4:Dat$Row46 *
## Dat$HeightL:Dat$Column2:Dat$Row47 .
## Dat$HeightM:Dat$Column2:Dat$Row47 *
## Dat$HeightL:Dat$Column3:Dat$Row47
## Dat$HeightM:Dat$Column3:Dat$Row47 **
## Dat$HeightL:Dat$Column4:Dat$Row47
## Dat$HeightM:Dat$Column4:Dat$Row47
## Dat$HeightL:Dat$Column2:Dat$Row48
## Dat$HeightM:Dat$Column2:Dat$Row48
## Dat$HeightL:Dat$Column3:Dat$Row48
## Dat$HeightM:Dat$Column3:Dat$Row48
## Dat$HeightL:Dat$Column4:Dat$Row48
## Dat$HeightM:Dat$Column4:Dat$Row48
## Dat$HeightL:Dat$Column2:Dat$Row49
## Dat$HeightM:Dat$Column2:Dat$Row49
## Dat$HeightL:Dat$Column3:Dat$Row49
## Dat$HeightM:Dat$Column3:Dat$Row49
## Dat$HeightL:Dat$Column4:Dat$Row49
## Dat$HeightM:Dat$Column4:Dat$Row49
## Dat$HeightL:Dat$Column2:Dat$Row5
## Dat$HeightM:Dat$Column2:Dat$Row5
## Dat$HeightL:Dat$Column3:Dat$Row5 .
## Dat$HeightM:Dat$Column3:Dat$Row5
## Dat$HeightL:Dat$Column4:Dat$Row5
## Dat$HeightM:Dat$Column4:Dat$Row5
## Dat$HeightL:Dat$Column2:Dat$Row50
## Dat$HeightM:Dat$Column2:Dat$Row50 *
## Dat$HeightL:Dat$Column3:Dat$Row50
## Dat$HeightM:Dat$Column3:Dat$Row50
## Dat$HeightL:Dat$Column4:Dat$Row50
## Dat$HeightM:Dat$Column4:Dat$Row50
## Dat$HeightL:Dat$Column2:Dat$Row6
## Dat$HeightM:Dat$Column2:Dat$Row6 .
## Dat$HeightL:Dat$Column3:Dat$Row6 .
## Dat$HeightM:Dat$Column3:Dat$Row6
## Dat$HeightL:Dat$Column4:Dat$Row6
## Dat$HeightM:Dat$Column4:Dat$Row6
## Dat$HeightL:Dat$Column2:Dat$Row7
## Dat$HeightM:Dat$Column2:Dat$Row7 *
## Dat$HeightL:Dat$Column3:Dat$Row7 *
## Dat$HeightM:Dat$Column3:Dat$Row7
## Dat$HeightL:Dat$Column4:Dat$Row7
## Dat$HeightM:Dat$Column4:Dat$Row7
## Dat$HeightL:Dat$Column2:Dat$Row8 .
## Dat$HeightM:Dat$Column2:Dat$Row8
## Dat$HeightL:Dat$Column3:Dat$Row8
## Dat$HeightM:Dat$Column3:Dat$Row8
## Dat$HeightL:Dat$Column4:Dat$Row8
## Dat$HeightM:Dat$Column4:Dat$Row8
## Dat$HeightL:Dat$Column2:Dat$Row9
## Dat$HeightM:Dat$Column2:Dat$Row9
## Dat$HeightL:Dat$Column3:Dat$Row9
## Dat$HeightM:Dat$Column3:Dat$Row9
## Dat$HeightL:Dat$Column4:Dat$Row9
## Dat$HeightM:Dat$Column4:Dat$Row9
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 7.978 on 1313 degrees of freedom
## Multiple R-squared: 0.2983, Adjusted R-squared: 0.04387
## F-statistic: 1.172 on 476 and 1313 DF, p-value: 0.0162
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
Comparing correlations between the 4 dualex measures
## `geom_smooth()` using method = 'gam' and formula 'y ~ s(x, bs = "cs")'
## `geom_smooth()` using method = 'gam' and formula 'y ~ s(x, bs = "cs")'
## `geom_smooth()` using method = 'gam' and formula 'y ~ s(x, bs = "cs")'
## `geom_smooth()` using method = 'gam' and formula 'y ~ s(x, bs = "cs")'
## `geom_smooth()` using method = 'gam' and formula 'y ~ s(x, bs = "cs")'
## `geom_smooth()` using method = 'gam' and formula 'y ~ s(x, bs = "cs")'
## Analysis of Variance Table
##
## Response: Anth5
## Df Sum Sq Mean Sq F value Pr(>F)
## Chl5 1 0.32495 0.32495 225.0996 < 2.2e-16 ***
## Flav5 1 0.06820 0.06820 47.2416 8.648e-12 ***
## NBI5 1 0.02278 0.02278 15.7770 7.410e-05 ***
## Chl5:Flav5 1 0.00951 0.00951 6.5852 0.01036 *
## Chl5:NBI5 1 0.02430 0.02430 16.8357 4.260e-05 ***
## Flav5:NBI5 1 0.00218 0.00218 1.5087 0.21950
## Chl5:Flav5:NBI5 1 0.00016 0.00016 0.1093 0.74100
## Residuals 1782 2.57247 0.00144
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Analysis of Variance Table
##
## Response: Chl5
## Df Sum Sq Mean Sq F value Pr(>F)
## Anth5 1 41543 41543 2.5419e+04 <2e-16 ***
## Flav5 1 202 202 1.2366e+02 <2e-16 ***
## NBI5 1 335250 335250 2.0513e+05 <2e-16 ***
## Anth5:Flav5 1 494 494 3.0218e+02 <2e-16 ***
## Anth5:NBI5 1 167 167 1.0217e+02 <2e-16 ***
## Flav5:NBI5 1 6102 6102 3.7336e+03 <2e-16 ***
## Anth5:Flav5:NBI5 1 0 0 1.5590e-01 0.693
## Residuals 1782 2912 2
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Analysis of Variance Table
##
## Response: Flav5
## Df Sum Sq Mean Sq F value Pr(>F)
## Anth5 1 3.055 3.055 265.2320 < 2.2e-16 ***
## Chl5 1 0.056 0.056 4.8612 0.02759 *
## NBI5 1 74.121 74.121 6435.9193 < 2.2e-16 ***
## Anth5:Chl5 1 0.522 0.522 45.3622 2.203e-11 ***
## Anth5:NBI5 1 0.178 0.178 15.4884 8.620e-05 ***
## Chl5:NBI5 1 0.204 0.204 17.7366 2.664e-05 ***
## Anth5:Chl5:NBI5 1 0.000 0.000 0.0127 0.91035
## Residuals 1782 20.523 0.012
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Analysis of Variance Table
##
## Response: NBI5
## Df Sum Sq Mean Sq F value Pr(>F)
## Anth5 1 13748 13748 2.0883e+04 <2e-16 ***
## Chl5 1 93493 93493 1.4201e+05 <2e-16 ***
## Flav5 1 9187 9187 1.3954e+04 <2e-16 ***
## Anth5:Chl5 1 49 49 7.4257e+01 <2e-16 ***
## Anth5:Flav5 1 103 103 1.5674e+02 <2e-16 ***
## Chl5:Flav5 1 1331 1331 2.0210e+03 <2e-16 ***
## Anth5:Chl5:Flav5 1 0 0 2.4100e-02 0.8768
## Residuals 1782 1173 1
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## Analysis of Variance Table
##
## Response: Dat$Anth5
## Df Sum Sq Mean Sq F value Pr(>F)
## Dat$Flower 1 0.00036 0.00036392 0.2152 0.6428
## Residuals 1788 3.02417 0.00169137
##
## Call:
## lm(formula = Dat$Anth5 ~ Dat$Flower)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.105618 -0.028027 -0.000984 0.025667 0.201307
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) -0.0002807 0.0011451 -0.245 0.806
## Dat$FlowerY 0.0010050 0.0021665 0.464 0.643
##
## Residual standard error: 0.04113 on 1788 degrees of freedom
## Multiple R-squared: 0.0001203, Adjusted R-squared: -0.0004389
## F-statistic: 0.2152 on 1 and 1788 DF, p-value: 0.6428
## Analysis of Variance Table
##
## Response: Dat$Chl5
## Df Sum Sq Mean Sq F value Pr(>F)
## Dat$Flower 1 19 18.847 0.0872 0.7679
## Residuals 1788 386652 216.248
##
## Call:
## lm(formula = Dat$Chl5 ~ Dat$Flower)
##
## Residuals:
## Min 1Q Median 3Q Max
## -41.009 -10.634 1.455 11.317 31.370
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) -0.06388 0.40943 -0.156 0.876
## Dat$FlowerY 0.22870 0.77468 0.295 0.768
##
## Residual standard error: 14.71 on 1788 degrees of freedom
## Multiple R-squared: 4.874e-05, Adjusted R-squared: -0.0005105
## F-statistic: 0.08716 on 1 and 1788 DF, p-value: 0.7679
## Analysis of Variance Table
##
## Response: Dat$Flav5
## Df Sum Sq Mean Sq F value Pr(>F)
## Dat$Flower 1 0.245 0.244694 4.4456 0.03513 *
## Residuals 1788 98.414 0.055042
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Call:
## lm(formula = Dat$Flav5 ~ Dat$Flower)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.86910 -0.14463 0.01577 0.15365 0.80773
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) -0.007279 0.006532 -1.114 0.2653
## Dat$FlowerY 0.026059 0.012359 2.108 0.0351 *
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.2346 on 1788 degrees of freedom
## Multiple R-squared: 0.00248, Adjusted R-squared: 0.001922
## F-statistic: 4.446 on 1 and 1788 DF, p-value: 0.03513
## Analysis of Variance Table
##
## Response: Dat$NBI5
## Df Sum Sq Mean Sq F value Pr(>F)
## Dat$Flower 1 13 13.012 0.1954 0.6585
## Residuals 1788 119071 66.595
##
## Call:
## lm(formula = Dat$NBI5 ~ Dat$Flower)
##
## Residuals:
## Min 1Q Median 3Q Max
## -20.4419 -5.8719 0.2175 5.8066 28.8506
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 0.05308 0.22721 0.234 0.815
## Dat$FlowerY -0.19003 0.42990 -0.442 0.659
##
## Residual standard error: 8.161 on 1788 degrees of freedom
## Multiple R-squared: 0.0001093, Adjusted R-squared: -0.00045
## F-statistic: 0.1954 on 1 and 1788 DF, p-value: 0.6585